37998400 has 168 divisors, whose sum is σ = 108850176. Its totient is φ = 12902400.

The previous prime is 37998353. The next prime is 37998407. The reversal of 37998400 is 489973.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37998407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299137 + ... + 299263.

Almost surely, 2^37998400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425088).

37998400 is an abundant number, since it is smaller than the sum of its proper divisors (70851776).

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

37998400 is a wasteful number, since it uses less digits than its factorization.

37998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 37998400 is about 6164.2842244660. The cubic root of 37998400 is about 336.1928220517.

The spelling of 37998400 in words is "thirty-seven million, nine hundred ninety-eight thousand, four hundred".