37275252624 has 225 divisors, whose sum is σ = 112125938529. Its totient is φ = 11954770560.

The previous prime is 37275252617. The next prime is 37275252643. The reversal of 37275252624 is 42625257273.

The square root of 37275252624 is 193068.

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

37275252624 is a `hidden beast` number, since 3 + 72 + 7 + 52 + 526 + 2 + 4 = 666.

37275252624 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 only one way, i.e., 33907539600 + 3367713024 = 184140^2 + 58032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37275252624.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 215463802 + ... + 215463974.

Almost surely, 2^37275252624 is an apocalyptic number.

37275252624 is the 193068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37275252624

37275252624 is an abundant number, since it is smaller than the sum of its proper divisors (74850685905).

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

37275252624 is an equidigital number, since it uses as much as digits as its factorization.

37275252624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 209 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 37275252624 in words is "thirty-seven billion, two hundred seventy-five million, two hundred fifty-two thousand, six hundred twenty-four".