37638768 has 40 divisors (see below), whose sum is σ = 99866128. Its totient is φ = 12206592.

The previous prime is 37638767. The next prime is 37638773. The reversal of 37638768 is 86783673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37638767) 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, 8821 + ... + 12372.

Almost surely, 2^37638768 is an apocalyptic number.

It is an amenable number.

37638768 is an abundant number, since it is smaller than the sum of its proper divisors (62227360).

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

37638768 is a wasteful number, since it uses less digits than its factorization.

37638768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21241 (or 21235 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 37638768 is about 6135.0442541191. The cubic root of 37638768 is about 335.1288373529.

The spelling of 37638768 in words is "thirty-seven million, six hundred thirty-eight thousand, seven hundred sixty-eight".