37825628400 has 480 divisors, whose sum is σ = 157019712000. Its totient is φ = 8645011200.

The previous prime is 37825628381. The next prime is 37825628419. The reversal of 37825628400 is 482652873.

37825628400 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 562 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (37825628381) and next prime (37825628419).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3699295 + ... + 3709505.

It is an arithmetic number, because the mean of its divisors is an integer number (327124400).

Almost surely, 2^37825628400 is an apocalyptic number.

37825628400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37825628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78509856000).

37825628400 is an abundant number, since it is smaller than the sum of its proper divisors (119194083600).

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

37825628400 is a wasteful number, since it uses less digits than its factorization.

37825628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 37825628400 in words is "thirty-seven billion, eight hundred twenty-five million, six hundred twenty-eight thousand, four hundred".