37696896 has 96 divisors (see below), whose sum is σ = 111145320. Its totient is φ = 12257280.

The previous prime is 37696889. The next prime is 37696909. The reversal of 37696896 is 69869673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49156 + ... + 49916.

Almost surely, 2^37696896 is an apocalyptic number.

37696896 is a gapful number since it is divisible by the number (36) 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 37696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55572660).

37696896 is an abundant number, since it is smaller than the sum of its proper divisors (73448424).

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

37696896 is a wasteful number, since it uses less digits than its factorization.

37696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 37696896 is about 6139.7798006117. The cubic root of 37696896 is about 335.3012690452.

The spelling of 37696896 in words is "thirty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".