3442424563656 has 288 divisors, whose sum is σ = 10778907845160. Its totient is φ = 983220830208.

The previous prime is 3442424563579. The next prime is 3442424563661. The reversal of 3442424563656 is 6563654242443.

3442424563656 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 4 + 24 + 563 + 6 + 56 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1551893062500 + 1890531501156 = 1245750^2 + 1374966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84774750 + ... + 84815346.

Almost surely, 2^{3442424563656} is an apocalyptic number.

3442424563656 is a gapful number since it is divisible by the number (36) 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 3442424563656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389453922580).

3442424563656 is an abundant number, since it is smaller than the sum of its proper divisors (7336483281504).

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

3442424563656 is a wasteful number, since it uses less digits than its factorization.

3442424563656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40785 (or 40705 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 3442424563656 in words is "three trillion, four hundred forty-two billion, four hundred twenty-four million, five hundred sixty-three thousand, six hundred fifty-six".