3750884358400 has 243 divisors, whose sum is σ = 9521866198929. Its totient is φ = 1462858844160.

The previous prime is 3750884358323. The next prime is 3750884358433. The reversal of 3750884358400 is 48534880573.

The square root of 3750884358400 is 1936720.

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

It can be written as a sum of positive squares in only one way, i.e., 1350318369024 + 2400565989376 = 1162032^2 + 1549376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6662316519 + ... + 6662317081.

Almost surely, 2^{3750884358400} is an apocalyptic number.

3750884358400 is the 1936720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750884358400

3750884358400 is an abundant number, since it is smaller than the sum of its proper divisors (5770981840529).

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

3750884358400 is an frugal number, since it uses more digits than its factorization.

3750884358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 3750884358400 in words is "three trillion, seven hundred fifty billion, eight hundred eighty-four million, three hundred fifty-eight thousand, four hundred".