38057460 has 192 divisors, whose sum is σ = 130744320. Its totient is φ = 8087040.

The previous prime is 38057449. The next prime is 38057489. The reversal of 38057460 is 6475083.

38057460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481701 + ... + 481779.

It is an arithmetic number, because the mean of its divisors is an integer number (680960).

Almost surely, 2^38057460 is an apocalyptic number.

38057460 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 38057460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65372160).

38057460 is an abundant number, since it is smaller than the sum of its proper divisors (92686860).

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

38057460 is a wasteful number, since it uses less digits than its factorization.

38057460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38057460 is about 6169.0728638913. The cubic root of 38057460 is about 336.3669106970.

The spelling of 38057460 in words is "thirty-eight million, fifty-seven thousand, four hundred sixty".