37981728 has 72 divisors (see below), whose sum is σ = 110558448. Its totient is φ = 12362112.

The previous prime is 37981709. The next prime is 37981753. The reversal of 37981728 is 82718973.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×37981728² = 2885223323731968, which contains 22 as substring.

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, 10851 + ... + 13917.

It is an arithmetic number, because the mean of its divisors is an integer number (1535534).

Almost surely, 2^37981728 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 37981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55279224).

37981728 is an abundant number, since it is smaller than the sum of its proper divisors (72576720).

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

37981728 is a wasteful number, since it uses less digits than its factorization.

37981728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3115 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 37981728 is about 6162.9317698641. The cubic root of 37981728 is about 336.1436460630.

The spelling of 37981728 in words is "thirty-seven million, nine hundred eighty-one thousand, seven hundred twenty-eight".