3575728800 has 360 divisors, whose sum is σ = 14904733536. Its totient is φ = 817205760.

The previous prime is 3575728781. The next prime is 3575728811. The reversal of 3575728800 is 88275753.

3575728800 is a `hidden beast` number, since 3 + 575 + 72 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3575728800² = 25571672902298880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 449659 + ... + 457541.

Almost surely, 2^3575728800 is an apocalyptic number.

3575728800 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 3575728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452366768).

3575728800 is an abundant number, since it is smaller than the sum of its proper divisors (11329004736).

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

3575728800 is a wasteful number, since it uses less digits than its factorization.

3575728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7922 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 3575728800 is about 59797.3979366996. The cubic root of 3575728800 is about 1529.1667896991.

The spelling of 3575728800 in words is "three billion, five hundred seventy-five million, seven hundred twenty-eight thousand, eight hundred".