3909412958976 has 108 divisors (see below), whose sum is σ = 12882058726992. Its totient is φ = 1116975126528.

The previous prime is 3909412958923. The next prime is 3909412958993. The reversal of 3909412958976 is 6798592149093.

3909412958976 is a `hidden beast` number, since 3 + 90 + 9 + 412 + 9 + 58 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121183431 + ... + 121215686.

It is a 1-persistent number, because it is pandigital, but 2⋅3909412958976 = 7818825917952 is not.

Almost surely, 2^{3909412958976} is an apocalyptic number.

3909412958976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3909412958976 is an abundant number, since it is smaller than the sum of its proper divisors (8972645768016).

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

3909412958976 is a wasteful number, since it uses less digits than its factorization.

3909412958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242399146 (or 242399129 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 3909412958976 in words is "three trillion, nine hundred nine billion, four hundred twelve million, nine hundred fifty-eight thousand, nine hundred seventy-six".