37628240400 has 405 divisors, whose sum is σ = 135308297397. Its totient is φ = 9683481600.

The previous prime is 37628240389. The next prime is 37628240431. The reversal of 37628240400 is 404282673.

The square root of 37628240400 is 193980.

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

37628240400 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 8 + 240 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 34985457936 + 2642782464 = 187044^2 + 51408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 616856370 + ... + 616856430.

Almost surely, 2^37628240400 is an apocalyptic number.

37628240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37628240400 is the 193980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37628240400

37628240400 is an abundant number, since it is smaller than the sum of its proper divisors (97680056997).

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

37628240400 is a wasteful number, since it uses less digits than its factorization.

37628240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 37628240400 by its sum of digits (36), we get a square (1354616654400 = 1163880²).

37628240400 divided by its sum of digits (36) gives a square (1045228900 = 32330²).

The spelling of 37628240400 in words is "thirty-seven billion, six hundred twenty-eight million, two hundred forty thousand, four hundred".