3972107780460 has 120 divisors (see below), whose sum is σ = 12695756085936. Its totient is φ = 1039243271040.

The previous prime is 3972107780441. The next prime is 3972107780483. The reversal of 3972107780460 is 640877012793.

3972107780460 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 107 + 78 + 0 + 460 = 666.

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 = 3972107780397 and 3972107780406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23045446 + ... + 23217165.

Almost surely, 2^{3972107780460} is an apocalyptic number.

3972107780460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3972107780460 is an abundant number, since it is smaller than the sum of its proper divisors (8723648305476).

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

3972107780460 is a wasteful number, since it uses less digits than its factorization.

3972107780460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46262685 (or 46262674 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 3972107780460 in words is "three trillion, nine hundred seventy-two billion, one hundred seven million, seven hundred eighty thousand, four hundred sixty".