3442937055012 has 288 divisors, whose sum is σ = 10802407359744. Its totient is φ = 900321177600.

The previous prime is 3442937054939. The next prime is 3442937055053. The reversal of 3442937055012 is 2105507392443.

It is a happy number.

3442937055012 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 93 + 7 + 0 + 550 + 1 + 2 = 666.

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, 635577328 + ... + 635582744.

It is an arithmetic number, because the mean of its divisors is an integer number (37508358888).

Almost surely, 2^{3442937055012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442937055012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401203679872).

3442937055012 is an abundant number, since it is smaller than the sum of its proper divisors (7359470304732).

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

3442937055012 is a wasteful number, since it uses less digits than its factorization.

3442937055012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3442937055012 in words is "three trillion, four hundred forty-two billion, nine hundred thirty-seven million, fifty-five thousand, twelve".