37825920 has 256 divisors, whose sum is σ = 146880000. Its totient is φ = 9123840.

The previous prime is 37825913. The next prime is 37825927. The reversal of 37825920 is 2952873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37825913) and next prime (37825927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37825927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189981 + ... + 190179.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^37825920 is an apocalyptic number.

37825920 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 37825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

37825920 is an abundant number, since it is smaller than the sum of its proper divisors (109054080).

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

37825920 is a wasteful number, since it uses less digits than its factorization.

37825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 37825920 is about 6150.2780424953. The cubic root of 37825920 is about 335.6833751962.

The spelling of 37825920 in words is "thirty-seven million, eight hundred twenty-five thousand, nine hundred twenty".