3718560400 has 45 divisors (see below), whose sum is σ = 8936772411. Its totient is φ = 1486936320.

The previous prime is 3718560383. The next prime is 3718560403. The reversal of 3718560400 is 40658173.

The square root of 3718560400 is 60980.

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

3718560400 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 4 ways, for example, as 1160628624 + 2557931776 = 34068^2 + 50576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3718560403) 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, 1218076 + ... + 1221124.

Almost surely, 2^3718560400 is an apocalyptic number.

3718560400 is the 60980-th square number.

It is an amenable number.

3718560400 is an abundant number, since it is smaller than the sum of its proper divisors (5218212011).

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

3718560400 is an frugal number, since it uses more digits than its factorization.

3718560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The cubic root of 3718560400 is about 1549.2622781430.

The spelling of 3718560400 in words is "three billion, seven hundred eighteen million, five hundred sixty thousand, four hundred".