3422129356800 has 1944 divisors, whose sum is σ = 15511865333328. Its totient is φ = 705901363200.

The previous prime is 3422129356703. The next prime is 3422129356859. The reversal of 3422129356800 is 86539212243.

3422129356800 is a `hidden beast` number, since 3 + 4 + 2 + 212 + 9 + 356 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24979046332 + ... + 24979046468.

Almost surely, 2^{3422129356800} is an apocalyptic number.

3422129356800 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 3422129356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755932666664).

3422129356800 is an abundant number, since it is smaller than the sum of its proper divisors (12089735976528).

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

3422129356800 is a wasteful number, since it uses less digits than its factorization.

3422129356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3422129356800 in words is "three trillion, four hundred twenty-two billion, one hundred twenty-nine million, three hundred fifty-six thousand, eight hundred".