3572800 has 168 divisors, whose sum is σ = 11338560. Its totient is φ = 1075200.

The previous prime is 3572731. The next prime is 3572819. The reversal of 3572800 is 82753.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 123186 + ... + 123214.

Almost surely, 2^3572800 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 3572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

3572800 is an abundant number, since it is smaller than the sum of its proper divisors (7765760).

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

3572800 is a wasteful number, since it uses less digits than its factorization.

3572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3572800 is about 1890.1851761137. The cubic root of 3572800 is about 152.8749173480.

The spelling of 3572800 in words is "three million, five hundred seventy-two thousand, eight hundred".