3972396760605 has 576 divisors, whose sum is σ = 9177892738560. Its totient is φ = 1572172664832.

The previous prime is 3972396760601. The next prime is 3972396760639. The reversal of 3972396760605 is 5060676932793.

3972396760605 is a `hidden beast` number, since 397 + 239 + 6 + 7 + 6 + 0 + 6 + 0 + 5 = 666.

It is not a de Polignac number, because 3972396760605 - 2² = 3972396760601 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972396760601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12531219907 + ... + 12531220223.

It is an arithmetic number, because the mean of its divisors is an integer number (15933841560).

Almost surely, 2^{3972396760605} is an apocalyptic number.

3972396760605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3972396760605 is an abundant number, since it is smaller than the sum of its proper divisors (5205495977955).

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

3972396760605 is a wasteful number, since it uses less digits than its factorization.

3972396760605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 3972396760605 in words is "three trillion, nine hundred seventy-two billion, three hundred ninety-six million, seven hundred sixty thousand, six hundred five".