3313128040 has 72 divisors (see below), whose sum is σ = 7883991090. Its totient is φ = 1252880064.

The previous prime is 3313128031. The next prime is 3313128043. The reversal of 3313128040 is 408213133.

It can be written as a sum of positive squares in only one way, i.e., 2981815236 + 331312804 = 54606^2 + 18202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3313127996 and 3313128014.

It is not an unprimeable number, because it can be changed into a prime (3313128043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6916521 + ... + 6916999.

Almost surely, 2^3313128040 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 3313128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941995545).

3313128040 is an abundant number, since it is smaller than the sum of its proper divisors (4570863050).

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

3313128040 is an equidigital number, since it uses as much as digits as its factorization.

3313128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3313128040 is about 57559.7779703848. Note that the first 3 decimals coincide. The cubic root of 3313128040 is about 1490.7771931475. Note that the first 3 decimals are identical.

The spelling of 3313128040 in words is "three billion, three hundred thirteen million, one hundred twenty-eight thousand, forty".