37936896 has 72 divisors (see below), whose sum is σ = 103213824. Its totient is φ = 12364800.

The previous prime is 37936883. The next prime is 37936897. The reversal of 37936896 is 69863973.

It is a happy number.

It is a super-2 number, since 2×37936896² = 2878416156229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37936897) 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, 35571 + ... + 36621.

Almost surely, 2^37936896 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 37936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51606912).

37936896 is an abundant number, since it is smaller than the sum of its proper divisors (65276928).

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

37936896 is a wasteful number, since it uses less digits than its factorization.

37936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 37936896 is about 6159.2934659748. The cubic root of 37936896 is about 336.0113374859.

The spelling of 37936896 in words is "thirty-seven million, nine hundred thirty-six thousand, eight hundred ninety-six".