37883872 has 48 divisors (see below), whose sum is σ = 84566160. Its totient is φ = 16561152.

The previous prime is 37883851. The next prime is 37883873. The reversal of 37883872 is 27838873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37883873) 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, 5508 + ... + 10300.

It is an arithmetic number, because the mean of its divisors is an integer number (1761795).

Almost surely, 2^37883872 is an apocalyptic number.

37883872 is a gapful number since it is divisible by the number (32) 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 37883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283080).

37883872 is an abundant number, since it is smaller than the sum of its proper divisors (46682288).

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

37883872 is a wasteful number, since it uses less digits than its factorization.

37883872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4827 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 37883872 is about 6154.9875710679. The cubic root of 37883872 is about 335.8547179922.

The spelling of 37883872 in words is "thirty-seven million, eight hundred eighty-three thousand, eight hundred seventy-two".