3677626985796 has 81 divisors (see below), whose sum is σ = 9518723326749. Its totient is φ = 1197205837632.

The previous prime is 3677626985729. The next prime is 3677626985803. The reversal of 3677626985796 is 6975896267763.

The square root of 3677626985796 is 1917714.

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

3677626985796 is a `hidden beast` number, since 36 + 7 + 7 + 6 + 2 + 6 + 9 + 8 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219276792900 + 3458350192896 = 468270^2 + 1859664^2 .

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 26 ways as a sum of consecutive naturals, for example, 494766496 + ... + 494773928.

Almost surely, 2^{3677626985796} is an apocalyptic number.

3677626985796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3677626985796 is the 1917714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677626985796

3677626985796 is an abundant number, since it is smaller than the sum of its proper divisors (5841096340953).

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

3677626985796 is an frugal number, since it uses more digits than its factorization.

3677626985796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 7481 counting only the distinct ones).

The product of its digits is 8641624320, while the sum is 81.

Multiplying 3677626985796 by its sum of digits (81), we get a square (297887785849476 = 17259426²).

The spelling of 3677626985796 in words is "three trillion, six hundred seventy-seven billion, six hundred twenty-six million, nine hundred eighty-five thousand, seven hundred ninety-six".