3522636812160 has 320 divisors, whose sum is σ = 12627853555680. Its totient is φ = 935794446336.

The previous prime is 3522636812153. The next prime is 3522636812197. The reversal of 3522636812160 is 612186362253.

3522636812160 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 636 + 8 + 1 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3522636812160² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13504734 + ... + 13763106.

Almost surely, 2^{3522636812160} is an apocalyptic number.

3522636812160 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 3522636812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313926777840).

3522636812160 is an abundant number, since it is smaller than the sum of its proper divisors (9105216743520).

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

3522636812160 is a wasteful number, since it uses less digits than its factorization.

3522636812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258667 (or 258646 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3522636812160 in words is "three trillion, five hundred twenty-two billion, six hundred thirty-six million, eight hundred twelve thousand, one hundred sixty".