38057124 has 72 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 10679424.

The previous prime is 38057113. The next prime is 38057147. The reversal of 38057124 is 42175083.

It is a junction number, because it is equal to n+sod(n) for n = 38057091 and 38057100.

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, 34144 + ... + 35240.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^38057124 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 38057124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

38057124 is an abundant number, since it is smaller than the sum of its proper divisors (67087356).

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

38057124 is a wasteful number, since it uses less digits than its factorization.

38057124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 38057124 is about 6169.0456312140. The cubic root of 38057124 is about 336.3659207937.

The spelling of 38057124 in words is "thirty-eight million, fifty-seven thousand, one hundred twenty-four".