3422127758400 has 252 divisors, whose sum is σ = 13098670007332. Its totient is φ = 842369863680.

The previous prime is 3422127758333. The next prime is 3422127758411. The reversal of 3422127758400 is 48577212243.

3422127758400 is a `hidden beast` number, since 3 + 42 + 2 + 1 + 27 + 7 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 464938514496 + 2957189243904 = 681864^2 + 1719648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8953099 + ... + 9327498.

Almost surely, 2^{3422127758400} is an apocalyptic number.

3422127758400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3422127758400 is an abundant number, since it is smaller than the sum of its proper divisors (9676542248932).

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

3422127758400 is a wasteful number, since it uses less digits than its factorization.

3422127758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280638 (or 18280620 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 3422127758400 in words is "three trillion, four hundred twenty-two billion, one hundred twenty-seven million, seven hundred fifty-eight thousand, four hundred".