3707996979456 has 729 divisors, whose sum is σ = 13696215234429. Its totient is φ = 961267507200.

The previous prime is 3707996979367. The next prime is 3707996979529. The reversal of 3707996979456 is 6549796997073.

The square root of 3707996979456 is 1925616.

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

3707996979456 is a `hidden beast` number, since 3 + 7 + 0 + 7 + 9 + 96 + 9 + 79 + 456 = 666.

3707996979456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1063340441856 + 2644656537600 = 1031184^2 + 1626240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7117076476 + ... + 7117076996.

Almost surely, 2^{3707996979456} is an apocalyptic number.

3707996979456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3707996979456 is the 1925616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3707996979456

3707996979456 is an abundant number, since it is smaller than the sum of its proper divisors (9988218254973).

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

3707996979456 is an equidigital number, since it uses as much as digits as its factorization.

3707996979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 4860913680, while the sum is 81.

Multiplying 3707996979456 by its sum of digits (81), we get a square (300347755335936 = 17330544²).

The spelling of 3707996979456 in words is "three trillion, seven hundred seven billion, nine hundred ninety-six million, nine hundred seventy-nine thousand, four hundred fifty-six".