37882096 has 60 divisors (see below), whose sum is σ = 86158920. Its totient is φ = 16087680.

The previous prime is 37882063. The next prime is 37882111. The reversal of 37882096 is 69028873.

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, 165310 + ... + 165538.

It is an arithmetic number, because the mean of its divisors is an integer number (1435982).

Almost surely, 2^37882096 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 37882096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43079460).

37882096 is an abundant number, since it is smaller than the sum of its proper divisors (48276824).

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

37882096 is a wasteful number, since it uses less digits than its factorization.

37882096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 37882096 is about 6154.8432961368. The cubic root of 37882096 is about 335.8494696084.

The spelling of 37882096 in words is "thirty-seven million, eight hundred eighty-two thousand, ninety-six".