3422412808704 has 1120 divisors, whose sum is σ = 11376465002496. Its totient is φ = 1023356436480.

The previous prime is 3422412808643. The next prime is 3422412808733. The reversal of 3422412808704 is 4078082142243.

3422412808704 is a `hidden beast` number, since 342 + 24 + 1 + 280 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3422412808704.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24981115324 + ... + 24981115460.

Almost surely, 2^{3422412808704} is an apocalyptic number.

3422412808704 is a gapful number since it is divisible by the number (34) 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 3422412808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688232501248).

3422412808704 is an abundant number, since it is smaller than the sum of its proper divisors (7954052193792).

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

3422412808704 is a wasteful number, since it uses less digits than its factorization.

3422412808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 3422412808704 in words is "three trillion, four hundred twenty-two billion, four hundred twelve million, eight hundred eight thousand, seven hundred four".