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3873914916480 = 27345728137991

3873914916480 has 640 divisors, whose sum is σ = 15867483413760. Its totient is φ = 882291916800.

The previous prime is 3873914916463. The next prime is 3873914916481. The reversal of 3873914916480 is 846194193783.

3873914916480 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 9 + 1 + 491 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3873914916481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101950285 + ... + 101988275.

It is an arithmetic number, because the mean of its divisors is an integer number (24792942834).

Almost surely, 23873914916480 is an apocalyptic number.

3873914916480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3873914916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933741706880).

3873914916480 is an abundant number, since it is smaller than the sum of its proper divisors (11993568497280).


3873914916480 is a wasteful number, since it uses less digits than its factorization.

3873914916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38310 (or 38289 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3873914916480 in words is "three trillion, eight hundred seventy-three billion, nine hundred fourteen million, nine hundred sixteen thousand, four hundred eighty".