3359274221184 has 256 divisors, whose sum is σ = 10934358220800. Its totient is φ = 891898675200.

The previous prime is 3359274221159. The next prime is 3359274221227. The reversal of 3359274221184 is 4811224729533.

It is a super-2 number, since 2×3359274221184² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 3144709 + ... + 4075259.

It is an arithmetic number, because the mean of its divisors is an integer number (42712336800).

Almost surely, 2^{3359274221184} is an apocalyptic number.

3359274221184 is a gapful number since it is divisible by the number (34) 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 3359274221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467179110400).

3359274221184 is an abundant number, since it is smaller than the sum of its proper divisors (7575083999616).

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

3359274221184 is a wasteful number, since it uses less digits than its factorization.

3359274221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930671 (or 930659 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 3359274221184 in words is "three trillion, three hundred fifty-nine billion, two hundred seventy-four million, two hundred twenty-one thousand, one hundred eighty-four".