37998720 has 160 divisors (see below), whose sum is σ = 135885420. Its totient is φ = 10119168.

The previous prime is 37998707. The next prime is 37998749. The reversal of 37998720 is 2789973.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 2286144 = 5976^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51474 + ... + 52206.

Almost surely, 2^37998720 is an apocalyptic number.

37998720 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 37998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67942710).

37998720 is an abundant number, since it is smaller than the sum of its proper divisors (97886700).

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

37998720 is an equidigital number, since it uses as much as digits as its factorization.

37998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 37998720 is about 6164.3101803851. The cubic root of 37998720 is about 336.1937657879.

It can be divided in two parts, 379 and 98720, that added together give a palindrome (99099).

The spelling of 37998720 in words is "thirty-seven million, nine hundred ninety-eight thousand, seven hundred twenty".