57049344 has 108 divisors (see below), whose sum is σ = 179520432. Its totient is φ = 17280000.

The previous prime is 57049319. The next prime is 57049357. The reversal of 57049344 is 44394075.

57049344 is a `hidden beast` number, since 570 + 49 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57049299 and 57049308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24219 + ... + 26469.

Almost surely, 2^57049344 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 57049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89760216).

57049344 is an abundant number, since it is smaller than the sum of its proper divisors (122471088).

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

57049344 is a wasteful number, since it uses less digits than its factorization.

57049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 57049344 is about 7553.1016145687. The cubic root of 57049344 is about 384.9611339863.

The spelling of 57049344 in words is "fifty-seven million, forty-nine thousand, three hundred forty-four".