3679764400683 has 144 divisors (see below), whose sum is σ = 6361327125504. Its totient is φ = 2042803445760.

The previous prime is 3679764400681. The next prime is 3679764400723. The reversal of 3679764400683 is 3860044679763.

3679764400683 is a `hidden beast` number, since 3 + 6 + 7 + 97 + 64 + 400 + 6 + 83 = 666.

It is not a de Polignac number, because 3679764400683 - 2¹ = 3679764400681 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3679764400683.

It is not an unprimeable number, because it can be changed into a prime (3679764400681) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1763182666 + ... + 1763184752.

It is an arithmetic number, because the mean of its divisors is an integer number (44175882816).

Almost surely, 2^{3679764400683} is an apocalyptic number.

3679764400683 is a deficient number, since it is larger than the sum of its proper divisors (2681562724821).

3679764400683 is a wasteful number, since it uses less digits than its factorization.

3679764400683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 3679764400683 in words is "three trillion, six hundred seventy-nine billion, seven hundred sixty-four million, four hundred thousand, six hundred eighty-three".