57034800 has 120 divisors (see below), whose sum is σ = 203040080. Its totient is φ = 15206400.

The previous prime is 57034771. The next prime is 57034843. The reversal of 57034800 is 843075.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57034800² = 6505936822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8160 + ... + 13440.

Almost surely, 2^57034800 is an apocalyptic number.

57034800 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 57034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101520040).

57034800 is an abundant number, since it is smaller than the sum of its proper divisors (146005280).

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

57034800 is a wasteful number, since it uses less digits than its factorization.

57034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57034800 is about 7552.1387699115. The cubic root of 57034800 is about 384.9284175681.

Adding to 57034800 its reverse (843075), we get a palindrome (57877875).

The spelling of 57034800 in words is "fifty-seven million, thirty-four thousand, eight hundred".