57349600 has 288 divisors, whose sum is σ = 187488000. Its totient is φ = 16934400.

The previous prime is 57349561. The next prime is 57349613. The reversal of 57349600 is 694375.

57349600 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 47 ways as a sum of consecutive naturals, for example, 3018391 + ... + 3018409.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^57349600 is an apocalyptic number.

57349600 is a gapful number since it is divisible by the number (50) 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 57349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

57349600 is an abundant number, since it is smaller than the sum of its proper divisors (130138400).

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

57349600 is a wasteful number, since it uses less digits than its factorization.

57349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 57349600 is about 7572.9518683272. The cubic root of 57349600 is about 385.6353146837.

The spelling of 57349600 in words is "fifty-seven million, three hundred forty-nine thousand, six hundred".