37638642 has 16 divisors (see below), whose sum is σ = 75337632. Its totient is φ = 12536160.

The previous prime is 37638613. The next prime is 37638673. The reversal of 37638642 is 24683673.

It is a self number, because there is not a number n which added to its sum of digits gives 37638642.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12417 + ... + 15147.

It is an arithmetic number, because the mean of its divisors is an integer number (4708602).

Almost surely, 2^37638642 is an apocalyptic number.

37638642 is an abundant number, since it is smaller than the sum of its proper divisors (37698990).

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

37638642 is a wasteful number, since it uses less digits than its factorization.

37638642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033.

The product of its digits is 145152, while the sum is 39.

The square root of 37638642 is about 6135.0339852359. The cubic root of 37638642 is about 335.1284633921.

The spelling of 37638642 in words is "thirty-seven million, six hundred thirty-eight thousand, six hundred forty-two".