3677987524864 has 81 divisors (see below), whose sum is σ = 7456987856997. Its totient is φ = 1810533491712.

The previous prime is 3677987524859. The next prime is 3677987524873. The reversal of 3677987524864 is 4684257897763.

The square root of 3677987524864 is 1917808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3475271467264 + 202716057600 = 1864208^2 + 450240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2055889282 + ... + 2055891070.

Almost surely, 2^{3677987524864} is an apocalyptic number.

3677987524864 is the 1917808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677987524864

3677987524864 is an abundant number, since it is smaller than the sum of its proper divisors (3779000332133).

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

3677987524864 is an frugal number, since it uses more digits than its factorization.

3677987524864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 1858 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 76.

The spelling of 3677987524864 in words is "three trillion, six hundred seventy-seven billion, nine hundred eighty-seven million, five hundred twenty-four thousand, eight hundred sixty-four".