3738886304400 has 1215 divisors, whose sum is σ = 14658548076081. Its totient is φ = 882101975040.

The previous prime is 3738886304353. The next prime is 3738886304441. The reversal of 3738886304400 is 44036888373.

The square root of 3738886304400 is 1933620.

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

3738886304400 is a `hidden beast` number, since 37 + 38 + 88 + 63 + 0 + 440 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2157690712464 + 1581195591936 = 1468908^2 + 1257456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 55804273167 + ... + 55804273233.

Almost surely, 2^{3738886304400} is an apocalyptic number.

3738886304400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3738886304400 is the 1933620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738886304400

3738886304400 is an abundant number, since it is smaller than the sum of its proper divisors (10919661771681).

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

3738886304400 is a wasteful number, since it uses less digits than its factorization.

3738886304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3738886304400 in words is "three trillion, seven hundred thirty-eight billion, eight hundred eighty-six million, three hundred four thousand, four hundred".