37879920 has 320 divisors, whose sum is σ = 149990400. Its totient is φ = 8709120.

The previous prime is 37879889. The next prime is 37879931. The reversal of 37879920 is 2997873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533485 + ... + 533555.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^37879920 is an apocalyptic number.

37879920 is a gapful number since it is divisible by the number (30) 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 37879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

37879920 is an abundant number, since it is smaller than the sum of its proper divisors (112110480).

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

37879920 is a wasteful number, since it uses less digits than its factorization.

37879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 37879920 is about 6154.6665222415. Note that the first 3 decimals coincide. The cubic root of 37879920 is about 335.8430389326.

The spelling of 37879920 in words is "thirty-seven million, eight hundred seventy-nine thousand, nine hundred twenty".