3328719408 has 320 divisors, whose sum is σ = 11733534720. Its totient is φ = 881860608.

The previous prime is 3328719379. The next prime is 3328719419. The reversal of 3328719408 is 8049178233.

It is a super-2 number, since 2×3328719408² = 22160745794391740928, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3752341 + ... + 3753227.

It is an arithmetic number, because the mean of its divisors is an integer number (36667296).

Almost surely, 2^3328719408 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 3328719408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866767360).

3328719408 is an abundant number, since it is smaller than the sum of its proper divisors (8404815312).

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

3328719408 is a wasteful number, since it uses less digits than its factorization.

3328719408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3328719408 is about 57695.0553167254. The cubic root of 3328719408 is about 1493.1120350396.

The spelling of 3328719408 in words is "three billion, three hundred twenty-eight million, seven hundred nineteen thousand, four hundred eight".