3329468979408 has 640 divisors, whose sum is σ = 11693626560000. Its totient is φ = 893098967040.

The previous prime is 3329468979329. The next prime is 3329468979427. The reversal of 3329468979408 is 8049798649233.

3329468979408 is a `hidden beast` number, since 3 + 3 + 2 + 94 + 68 + 9 + 79 + 408 = 666.

It is a super-2 number, since 2×3329468979408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 266927860 + ... + 266940332.

It is an arithmetic number, because the mean of its divisors is an integer number (18271291500).

Almost surely, 2^{3329468979408} 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 3329468979408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846813280000).

3329468979408 is an abundant number, since it is smaller than the sum of its proper divisors (8364157580592).

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

3329468979408 is a wasteful number, since it uses less digits than its factorization.

3329468979408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 3329468979408 in words is "three trillion, three hundred twenty-nine billion, four hundred sixty-eight million, nine hundred seventy-nine thousand, four hundred eight".