3422140001280 has 2112 divisors, whose sum is σ = 16051414579200. Its totient is φ = 654899281920.

The previous prime is 3422140001263. The next prime is 3422140001297. The reversal of 3422140001280 is 821000412243.

3422140001280 is a `hidden beast` number, since 34 + 221 + 400 + 0 + 1 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3422140001263) and next prime (3422140001297).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×3422140001280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7795307301 + ... + 7795307739.

It is an arithmetic number, because the mean of its divisors is an integer number (7600101600).

Almost surely, 2^{3422140001280} is an apocalyptic number.

3422140001280 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 3422140001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025707289600).

3422140001280 is an abundant number, since it is smaller than the sum of its proper divisors (12629274577920).

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

3422140001280 is a wasteful number, since it uses less digits than its factorization.

3422140001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 3422140001280 in words is "three trillion, four hundred twenty-two billion, one hundred forty million, one thousand, two hundred eighty".