3320634408 has 256 divisors, whose sum is σ = 11011123200. Its totient is φ = 809948160.

The previous prime is 3320634379. The next prime is 3320634419. The reversal of 3320634408 is 8044360233.

3320634408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320634408² = 22053225743187020928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783398 + ... + 1785258.

It is an arithmetic number, because the mean of its divisors is an integer number (43012200).

Almost surely, 2^3320634408 is an apocalyptic number.

3320634408 is a gapful number since it is divisible by the number (38) 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 3320634408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505561600).

3320634408 is an abundant number, since it is smaller than the sum of its proper divisors (7690488792).

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

3320634408 is a wasteful number, since it uses less digits than its factorization.

3320634408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3320634408 is about 57624.9460563739. The cubic root of 3320634408 is about 1491.9022006539.

The spelling of 3320634408 in words is "three billion, three hundred twenty million, six hundred thirty-four thousand, four hundred eight".