3542939112960 has 960 divisors, whose sum is σ = 13826321308800. Its totient is φ = 832392658944.

The previous prime is 3542939112953. The next prime is 3542939112991. The reversal of 3542939112960 is 692119392453.

3542939112960 is a `hidden beast` number, since 3 + 5 + 429 + 3 + 91 + 129 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 3542939112897 and 3542939112906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773058829 + ... + 773063411.

It is an arithmetic number, because the mean of its divisors is an integer number (14402418030).

Almost surely, 2^{3542939112960} is an apocalyptic number.

3542939112960 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 3542939112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913160654400).

3542939112960 is an abundant number, since it is smaller than the sum of its proper divisors (10283382195840).

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

3542939112960 is a wasteful number, since it uses less digits than its factorization.

3542939112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3542939112960 in words is "three trillion, five hundred forty-two billion, nine hundred thirty-nine million, one hundred twelve thousand, nine hundred sixty".