3313105920 has 132 divisors (see below), whose sum is σ = 11479985400. Its totient is φ = 883482624.

The previous prime is 3313105919. The next prime is 3313105921. The reversal of 3313105920 is 295013133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3313105919) and next prime (3313105921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313105921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10131 + ... + 82029.

Almost surely, 2^3313105920 is an apocalyptic number.

3313105920 is a gapful number since it is divisible by the number (30) 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 3313105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739992700).

3313105920 is an abundant number, since it is smaller than the sum of its proper divisors (8166879480).

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

3313105920 is a wasteful number, since it uses less digits than its factorization.

3313105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71930 (or 71909 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3313105920 is about 57559.5858219984. The cubic root of 3313105920 is about 1490.7738754303.

It can be divided in two parts, 3313105 and 920, that added together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 3313105920 in words is "three billion, three hundred thirteen million, one hundred five thousand, nine hundred twenty".