3585522494400 has 672 divisors, whose sum is σ = 14831108605440. Its totient is φ = 736665600000.

The previous prime is 3585522494363. The next prime is 3585522494413. The reversal of 3585522494400 is 44942255853.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32839900 + ... + 32948900.

Almost surely, 2^{3585522494400} is an apocalyptic number.

3585522494400 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 3585522494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415554302720).

3585522494400 is an abundant number, since it is smaller than the sum of its proper divisors (11245586111040).

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

3585522494400 is a wasteful number, since it uses less digits than its factorization.

3585522494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109133 (or 109118 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 3585522494400 in words is "three trillion, five hundred eighty-five billion, five hundred twenty-two million, four hundred ninety-four thousand, four hundred".