37628331 has 8 divisors (see below), whose sum is σ = 54030480. Its totient is φ = 23155872.

The previous prime is 37628323. The next prime is 37628363. The reversal of 37628331 is 13382673.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37628331 - 2³ = 37628323 is a prime.

It is a super-2 number, since 2×37628331² = 2831782587691122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37628292 and 37628301.

It is not an unprimeable number, because it can be changed into a prime (37628321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482376 + ... + 482453.

It is an arithmetic number, because the mean of its divisors is an integer number (6753810).

Almost surely, 2^37628331 is an apocalyptic number.

37628331 is a deficient number, since it is larger than the sum of its proper divisors (16402149).

37628331 is a wasteful number, since it uses less digits than its factorization.

37628331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964845.

The product of its digits is 18144, while the sum is 33.

The square root of 37628331 is about 6134.1935900328. The cubic root of 37628331 is about 335.0978580975.

The spelling of 37628331 in words is "thirty-seven million, six hundred twenty-eight thousand, three hundred thirty-one".