3342129222384 has 160 divisors (see below), whose sum is σ = 9693113331200. Its totient is φ = 1102449553920.

The previous prime is 3342129222359. The next prime is 3342129222391. The reversal of 3342129222384 is 4832229212433.

3342129222384 is a `hidden beast` number, since 3 + 3 + 4 + 21 + 29 + 222 + 384 = 666.

It is a super-2 number, since 2×3342129222384² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64893924 + ... + 64945404.

It is an arithmetic number, because the mean of its divisors is an integer number (60581958320).

Almost surely, 2^{3342129222384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342129222384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846556665600).

3342129222384 is an abundant number, since it is smaller than the sum of its proper divisors (6350984108816).

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

3342129222384 is a wasteful number, since it uses less digits than its factorization.

3342129222384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53060 (or 53048 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 3342129222384 in words is "three trillion, three hundred forty-two billion, one hundred twenty-nine million, two hundred twenty-two thousand, three hundred eighty-four".