37125582400 has 63 divisors (see below), whose sum is σ = 91371104659. Its totient is φ = 14847150080.

The previous prime is 37125582371. The next prime is 37125582409. The reversal of 37125582400 is 428552173.

The square root of 37125582400 is 192680.

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 12549376576 + 24576205824 = 112024^2 + 156768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37125582400.

It is not an unprimeable number, because it can be changed into a prime (37125582409) 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, 7704792 + ... + 7709608.

Almost surely, 2^37125582400 is an apocalyptic number.

37125582400 is the 192680-th square number.

It is an amenable number.

37125582400 is an abundant number, since it is smaller than the sum of its proper divisors (54245522259).

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

37125582400 is an frugal number, since it uses more digits than its factorization.

37125582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 37125582400 in words is "thirty-seven billion, one hundred twenty-five million, five hundred eighty-two thousand, four hundred".