37696128 has 64 divisors (see below), whose sum is σ = 101347200. Its totient is φ = 12412928.

The previous prime is 37696121. The next prime is 37696151. The reversal of 37696128 is 82169673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 37696128.

It is not an unprimeable number, because it can be changed into a prime (37696121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33625 + ... + 34727.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 2^37696128 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 37696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673600).

37696128 is an abundant number, since it is smaller than the sum of its proper divisors (63651072).

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

37696128 is a wasteful number, since it uses less digits than its factorization.

37696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1197 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 37696128 is about 6139.7172573336. The cubic root of 37696128 is about 335.2989919955.

The spelling of 37696128 in words is "thirty-seven million, six hundred ninety-six thousand, one hundred twenty-eight".