37998120 has 128 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 9569280.

The previous prime is 37998097. The next prime is 37998173. The reversal of 37998120 is 2189973.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 212191 + ... + 212369.

It is an arithmetic number, because the mean of its divisors is an integer number (941625).

Almost surely, 2^37998120 is an apocalyptic number.

37998120 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 37998120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

37998120 is an abundant number, since it is smaller than the sum of its proper divisors (82529880).

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

37998120 is a wasteful number, since it uses less digits than its factorization.

37998120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 37998120 is about 6164.2615129470. The cubic root of 37998120 is about 336.1919962781.

The spelling of 37998120 in words is "thirty-seven million, nine hundred ninety-eight thousand, one hundred twenty".