3296459920 has 120 divisors (see below), whose sum is σ = 8357418216. Its totient is φ = 1208623104.

The previous prime is 3296459911. The next prime is 3296459941. The reversal of 3296459920 is 299546923.

It can be written as a sum of positive squares in 12 ways, for example, as 2844302224 + 452157696 = 53332^2 + 21264^2 .

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 23 ways as a sum of consecutive naturals, for example, 2121864 + ... + 2123416.

Almost surely, 2^3296459920 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 3296459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178709108).

3296459920 is an abundant number, since it is smaller than the sum of its proper divisors (5060958296).

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

3296459920 is a wasteful number, since it uses less digits than its factorization.

3296459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The square root of 3296459920 is about 57414.8057560069. The cubic root of 3296459920 is about 1488.2729896681.

The spelling of 3296459920 in words is "three billion, two hundred ninety-six million, four hundred fifty-nine thousand, nine hundred twenty".