3313960000 has 140 divisors (see below), whose sum is σ = 8851051132. Its totient is φ = 1223424000.

The previous prime is 3313959973. The next prime is 3313960033. The reversal of 3313960000 is 693133.

It can be written as a sum of positive squares in 10 ways, for example, as 2595291136 + 718668864 = 50944^2 + 26808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 516814 + ... + 523186.

Almost surely, 2^3313960000 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 3313960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425525566).

3313960000 is an abundant number, since it is smaller than the sum of its proper divisors (5537091132).

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

3313960000 is an equidigital number, since it uses as much as digits as its factorization.

3313960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 3313960000 is about 57567.0044383065. The cubic root of 3313960000 is about 1490.9019657872.

It can be divided in two parts, 33139 and 60000, that added together give a palindrome (93139).

The spelling of 3313960000 in words is "three billion, three hundred thirteen million, nine hundred sixty thousand".