3542822084160 has 672 divisors, whose sum is σ = 13058102513664. Its totient is φ = 880091136000.

The previous prime is 3542822084159. The next prime is 3542822084167. The reversal of 3542822084160 is 614802282453.

3542822084160 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 8 + 220 + 8 + 416 + 0 = 666.

It is a super-2 number, since 2×3542822084160² (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 not an unprimeable number, because it can be changed into a prime (3542822084167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 255958840 + ... + 255972680.

Almost surely, 2^{3542822084160} is an apocalyptic number.

3542822084160 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 3542822084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529051256832).

3542822084160 is an abundant number, since it is smaller than the sum of its proper divisors (9515280429504).

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

3542822084160 is a wasteful number, since it uses less digits than its factorization.

3542822084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3542822084160 in words is "three trillion, five hundred forty-two billion, eight hundred twenty-two million, eighty-four thousand, one hundred sixty".