37998000 has 120 divisors (see below), whose sum is σ = 132777216. Its totient is φ = 10128000.

The previous prime is 37997989. The next prime is 37998041. The reversal of 37998000 is 89973.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 16945 + ... + 19055.

Almost surely, 2^37998000 is an apocalyptic number.

37998000 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 37998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388608).

37998000 is an abundant number, since it is smaller than the sum of its proper divisors (94779216).

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

37998000 is a wasteful number, since it uses less digits than its factorization.

37998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 37998000 is about 6164.2517794133. The cubic root of 37998000 is about 336.1916423739.

The spelling of 37998000 in words is "thirty-seven million, nine hundred ninety-eight thousand".