3522668800 has 324 divisors, whose sum is σ = 10401834240. Its totient is φ = 1177128960.

The previous prime is 3522668777. The next prime is 3522668857. The reversal of 3522668800 is 88662253.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14739081 + ... + 14739319.

Almost surely, 2^3522668800 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 3522668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200917120).

3522668800 is an abundant number, since it is smaller than the sum of its proper divisors (6879165440).

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

3522668800 is a wasteful number, since it uses less digits than its factorization.

3522668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3522668800 is about 59352.0749426673. The cubic root of 3522668800 is about 1521.5653311075.

The spelling of 3522668800 in words is "three billion, five hundred twenty-two million, six hundred sixty-eight thousand, eight hundred".