3422107814400 has 1440 divisors, whose sum is σ = 14230206619200. Its totient is φ = 776621260800.

The previous prime is 3422107814399. The next prime is 3422107814401. The reversal of 3422107814400 is 44187012243.

3422107814400 is a `hidden beast` number, since 34 + 2 + 2 + 107 + 81 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3422107814399) and next prime (3422107814401).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×3422107814400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3422107814401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2142834402 + ... + 2142835998.

It is an arithmetic number, because the mean of its divisors is an integer number (9882087930).

Almost surely, 2^{3422107814400} is an apocalyptic number.

3422107814400 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 3422107814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115103309600).

3422107814400 is an abundant number, since it is smaller than the sum of its proper divisors (10808098804800).

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

3422107814400 is a wasteful number, since it uses less digits than its factorization.

3422107814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 3422107814400 in words is "three trillion, four hundred twenty-two billion, one hundred seven million, eight hundred fourteen thousand, four hundred".