37998518400 has 288 divisors, whose sum is σ = 137504502720. Its totient is φ = 9989683200.

The previous prime is 37998518387. The next prime is 37998518413. The reversal of 37998518400 is 481589973.

37998518400 is a `hidden beast` number, since 37 + 9 + 98 + 518 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (37998518387) and next prime (37998518413).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2035509 + ... + 2054091.

It is an arithmetic number, because the mean of its divisors is an integer number (477446190).

Almost surely, 2^37998518400 is an apocalyptic number.

37998518400 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 37998518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68752251360).

37998518400 is an abundant number, since it is smaller than the sum of its proper divisors (99505984320).

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

37998518400 is a wasteful number, since it uses less digits than its factorization.

37998518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684 (or 18664 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 37998518400 in words is "thirty-seven billion, nine hundred ninety-eight million, five hundred eighteen thousand, four hundred".