3757580648704 has 81 divisors (see below), whose sum is σ = 7584677574327. Its totient is φ = 1857932623872.

The previous prime is 3757580648693. The next prime is 3757580648707. The reversal of 3757580648704 is 4078460857573.

The square root of 3757580648704 is 1938448.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75603001600 + 3681977647104 = 274960^2 + 1918848^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3757580648707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3008470672 + ... + 3008471920.

Almost surely, 2^{3757580648704} is an apocalyptic number.

3757580648704 is the 1938448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3757580648704

3757580648704 is an abundant number, since it is smaller than the sum of its proper divisors (3827096925623).

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

3757580648704 is an frugal number, since it uses more digits than its factorization.

3757580648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 64.

Multiplying 3757580648704 by its sum of digits (64), we get a square (240485161517056 = 15507584²).

3757580648704 divided by its sum of digits (64) gives a square (58712197636 = 242306²).

The spelling of 3757580648704 in words is "three trillion, seven hundred fifty-seven billion, five hundred eighty million, six hundred forty-eight thousand, seven hundred four".