3915237980160 has 2880 divisors, whose sum is σ = 16922240375040. Its totient is φ = 861237411840.

The previous prime is 3915237980117. The next prime is 3915237980161. The reversal of 3915237980160 is 610897325193.

3915237980160 is a `hidden beast` number, since 3 + 91 + 52 + 379 + 80 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3915237980097 and 3915237980106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915237980161) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73872414694 + ... + 73872414746.

It is an arithmetic number, because the mean of its divisors is an integer number (5875777908).

Almost surely, 2^{3915237980160} is an apocalyptic number.

3915237980160 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 3915237980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461120187520).

3915237980160 is an abundant number, since it is smaller than the sum of its proper divisors (13007002394880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3915237980160 is a wasteful number, since it uses less digits than its factorization.

3915237980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 3915237980160 in words is "three trillion, nine hundred fifteen billion, two hundred thirty-seven million, nine hundred eighty thousand, one hundred sixty".