38057760 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 8792064.

The previous prime is 38057759. The next prime is 38057771. The reversal of 38057760 is 6775083.

38057760 = 263² + 264² + ... + 509².

38057760 is a `hidden beast` number, since 3 + 80 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 355627 + ... + 355733.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^38057760 is an apocalyptic number.

38057760 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 38057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

38057760 is an abundant number, since it is smaller than the sum of its proper divisors (110541600).

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

38057760 is a wasteful number, since it uses less digits than its factorization.

38057760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 38057760 is about 6169.0971786802. The cubic root of 38057760 is about 336.3677945343.

The spelling of 38057760 in words is "thirty-eight million, fifty-seven thousand, seven hundred sixty".