3328413408 has 72 divisors (see below), whose sum is σ = 10021965408. Its totient is φ = 1044206592.

The previous prime is 3328413401. The next prime is 3328413419. The reversal of 3328413408 is 8043148233.

It is a happy number.

3328413408 is a `hidden beast` number, since 33 + 284 + 1 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3328413408² = 22156671629108348928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328413401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335016 + ... + 344807.

It is an arithmetic number, because the mean of its divisors is an integer number (139193964).

Almost surely, 2^3328413408 is an apocalyptic number.

It is an amenable number.

3328413408 is an abundant number, since it is smaller than the sum of its proper divisors (6693552000).

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

3328413408 is a wasteful number, since it uses less digits than its factorization.

3328413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679856 (or 679845 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3328413408 is about 57692.4033820745. The cubic root of 3328413408 is about 1493.0662810796.

The spelling of 3328413408 in words is "three billion, three hundred twenty-eight million, four hundred thirteen thousand, four hundred eight".