3917412475920 has 80 divisors (see below), whose sum is σ = 13493309646720. Its totient is φ = 1044643326336.

The previous prime is 3917412475871. The next prime is 3917412475969. The reversal of 3917412475920 is 295742147193.

3917412475920 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 4 + 1 + 2 + 47 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3917412475871) and next prime (3917412475969).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3917412475920² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906806284 + ... + 906810603.

It is an arithmetic number, because the mean of its divisors is an integer number (168666370584).

Almost surely, 2^{3917412475920} is an apocalyptic number.

3917412475920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3917412475920 is an abundant number, since it is smaller than the sum of its proper divisors (9575897170800).

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

3917412475920 is a wasteful number, since it uses less digits than its factorization.

3917412475920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813616909 (or 1813616897 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3917412475920 in words is "three trillion, nine hundred seventeen billion, four hundred twelve million, four hundred seventy-five thousand, nine hundred twenty".