3977628496002 has 80 divisors (see below), whose sum is σ = 10187276628672. Its totient is φ = 1136333590560.

The previous prime is 3977628495937. The next prime is 3977628496013. The reversal of 3977628496002 is 2006948267793.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9804193 + ... + 10201835.

Almost surely, 2^{3977628496002} is an apocalyptic number.

3977628496002 is an abundant number, since it is smaller than the sum of its proper divisors (6209648132670).

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

3977628496002 is a wasteful number, since it uses less digits than its factorization.

3977628496002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406485 (or 406476 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3977628496002 in words is "three trillion, nine hundred seventy-seven billion, six hundred twenty-eight million, four hundred ninety-six thousand, two".