37990080 has 112 divisors (see below), whose sum is σ = 134051040. Its totient is φ = 10128384.

The previous prime is 37990079. The next prime is 37990093. The reversal of 37990080 is 8009973.

It is a super-3 number, since 3×37990080³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 6442 + ... + 10838.

Almost surely, 2^37990080 is an apocalyptic number.

37990080 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 37990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67025520).

37990080 is an abundant number, since it is smaller than the sum of its proper divisors (96060960).

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

37990080 is a wasteful number, since it uses less digits than its factorization.

37990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4407 counting only the distinct ones).

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

The square root of 37990080 is about 6163.6093322014. The cubic root of 37990080 is about 336.1682830496.

The spelling of 37990080 in words is "thirty-seven million, nine hundred ninety thousand, eighty".