3542560233360 has 320 divisors, whose sum is σ = 12229522974720. Its totient is φ = 844195921920.

The previous prime is 3542560233137. The next prime is 3542560233397. The reversal of 3542560233360 is 633320652453.

It is a super-3 number, since 3×3542560233360³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6439206 + ... + 6967674.

It is an arithmetic number, because the mean of its divisors is an integer number (38217259296).

Almost surely, 2^{3542560233360} is an apocalyptic number.

3542560233360 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 3542560233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114761487360).

3542560233360 is an abundant number, since it is smaller than the sum of its proper divisors (8686962741360).

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

3542560233360 is a wasteful number, since it uses less digits than its factorization.

3542560233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528586 (or 528580 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

The spelling of 3542560233360 in words is "three trillion, five hundred forty-two billion, five hundred sixty million, two hundred thirty-three thousand, three hundred sixty".