3313253440 has 112 divisors (see below), whose sum is σ = 9491472000. Its totient is φ = 1076170752.

The previous prime is 3313253423. The next prime is 3313253479. The reversal of 3313253440 is 443523133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3313253399 and 3313253408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3636 + ... + 81484.

Almost surely, 2^3313253440 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 3313253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745736000).

3313253440 is an abundant number, since it is smaller than the sum of its proper divisors (6178218560).

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

3313253440 is a wasteful number, since it uses less digits than its factorization.

3313253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77892 (or 77882 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3313253440 is about 57560.8672624032. The cubic root of 3313253440 is about 1490.7960012647.

Adding to 3313253440 its reverse (443523133), we get a palindrome (3756776573).

The spelling of 3313253440 in words is "three billion, three hundred thirteen million, two hundred fifty-three thousand, four hundred forty".