37282896 has 80 divisors (see below), whose sum is σ = 122313600. Its totient is φ = 10651392.

The previous prime is 37282877. The next prime is 37282897. The reversal of 37282896 is 69828273.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37282897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (1528920).

Almost surely, 2^37282896 is an apocalyptic number.

37282896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

37282896 is an abundant number, since it is smaller than the sum of its proper divisors (85030704).

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

37282896 is a wasteful number, since it uses less digits than its factorization.

37282896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353 (or 12341 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 37282896 is about 6105.9721584691. The cubic root of 37282896 is about 334.0692841556.

The spelling of 37282896 in words is "thirty-seven million, two hundred eighty-two thousand, eight hundred ninety-six".