36057600 has 180 divisors, whose sum is σ = 129452466. Its totient is φ = 9584640.

The previous prime is 36057589. The next prime is 36057617. The reversal of 36057600 is 675063.

36057600 is a `hidden beast` number, since 3 + 6 + 0 + 57 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 21678336 = 3792^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115044 + ... + 115356.

Almost surely, 2^36057600 is an apocalyptic number.

36057600 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 36057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64726233).

36057600 is an abundant number, since it is smaller than the sum of its proper divisors (93394866).

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

36057600 is a wasteful number, since it uses less digits than its factorization.

36057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 36057600 is about 6004.7980815345. The cubic root of 36057600 is about 330.3687338380.

The spelling of 36057600 in words is "thirty-six million, fifty-seven thousand, six hundred".