37638240 has 96 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 9506304.

The previous prime is 37638233. The next prime is 37638241. The reversal of 37638240 is 4283673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×37638240² = 2833274220595200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37638241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7057 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 2^37638240 is an apocalyptic number.

37638240 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 37638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

37638240 is an abundant number, since it is smaller than the sum of its proper divisors (87192480).

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

37638240 is a wasteful number, since it uses less digits than its factorization.

37638240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 37638240 is about 6135.0012224938. The cubic root of 37638240 is about 335.1272702732.

The spelling of 37638240 in words is "thirty-seven million, six hundred thirty-eight thousand, two hundred forty".