37998144 has 84 divisors (see below), whose sum is σ = 111640620. Its totient is φ = 12349440.

The previous prime is 37998097. The next prime is 37998173. The reversal of 37998144 is 44189973.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 17640000 = 4512^2 + 4200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37998144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22812 + ... + 24420.

It is an arithmetic number, because the mean of its divisors is an integer number (1329055).

Almost surely, 2^37998144 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 37998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55820310).

37998144 is an abundant number, since it is smaller than the sum of its proper divisors (73642476).

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

37998144 is a wasteful number, since it uses less digits than its factorization.

37998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 37998144 is about 6164.2634596519. The cubic root of 37998144 is about 336.1920670589.

The spelling of 37998144 in words is "thirty-seven million, nine hundred ninety-eight thousand, one hundred forty-four".