38057418 has 96 divisors (see below), whose sum is σ = 103694400. Its totient is φ = 10287648.

The previous prime is 38057401. The next prime is 38057447. The reversal of 38057418 is 81475083.

38057418 is a `hidden beast` number, since 3 + 80 + 574 + 1 + 8 = 666.

It is a super-3 number, since 3×38057418³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49896 + ... + 50652.

It is an arithmetic number, because the mean of its divisors is an integer number (1080150).

Almost surely, 2^38057418 is an apocalyptic number.

38057418 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38057418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51847200).

38057418 is an abundant number, since it is smaller than the sum of its proper divisors (65636982).

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

38057418 is a wasteful number, since it uses less digits than its factorization.

38057418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 38057418 is about 6169.0694598132. The cubic root of 38057418 is about 336.3667869594.

The spelling of 38057418 in words is "thirty-eight million, fifty-seven thousand, four hundred eighteen".