37638720 has 168 divisors, whose sum is σ = 148035264. Its totient is φ = 8598528.

The previous prime is 37638707. The next prime is 37638721. The reversal of 37638720 is 2783673.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (37638721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19227 + ... + 21093.

Almost surely, 2^37638720 is an apocalyptic number.

37638720 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 37638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74017632).

37638720 is an abundant number, since it is smaller than the sum of its proper divisors (110396544).

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

37638720 is a wasteful number, since it uses less digits than its factorization.

37638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 37638720 is about 6135.0403421656. The cubic root of 37638720 is about 335.1286948918.

The spelling of 37638720 in words is "thirty-seven million, six hundred thirty-eight thousand, seven hundred twenty".