37638672 has 80 divisors (see below), whose sum is σ = 102755328. Its totient is φ = 11848320.

The previous prime is 37638613. The next prime is 37638673. The reversal of 37638672 is 27683673.

It is not an unprimeable number, because it can be changed into a prime (37638673) 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, 113547 + ... + 113877.

Almost surely, 2^37638672 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 37638672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51377664).

37638672 is an abundant number, since it is smaller than the sum of its proper divisors (65116656).

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

37638672 is a wasteful number, since it uses less digits than its factorization.

37638672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 37638672 is about 6135.0364302097. The cubic root of 37638672 is about 335.1285524304.

The spelling of 37638672 in words is "thirty-seven million, six hundred thirty-eight thousand, six hundred seventy-two".