38575940 has 72 divisors (see below), whose sum is σ = 89372808. Its totient is φ = 13977600.

The previous prime is 38575931. The next prime is 38575967. The reversal of 38575940 is 4957583.

It can be written as a sum of positive squares in 12 ways, for example, as 23193856 + 15382084 = 4816^2 + 3922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341324 + ... + 341436.

It is an arithmetic number, because the mean of its divisors is an integer number (1241289).

Almost surely, 2^38575940 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 38575940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44686404).

38575940 is an abundant number, since it is smaller than the sum of its proper divisors (50796868).

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

38575940 is a wasteful number, since it uses less digits than its factorization.

38575940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 38575940 is about 6210.9532279675. The cubic root of 38575940 is about 337.8875365484.

The spelling of 38575940 in words is "thirty-eight million, five hundred seventy-five thousand, nine hundred forty".