3313380 has 120 divisors (see below), whose sum is σ = 11293632. Its totient is φ = 724416.

The previous prime is 3313369. The next prime is 3313399. The reversal of 3313380 is 833133.

3313380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144049 + ... + 144071.

Almost surely, 2^3313380 is an apocalyptic number.

3313380 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 3313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646816).

3313380 is an abundant number, since it is smaller than the sum of its proper divisors (7980252).

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

3313380 is a wasteful number, since it uses less digits than its factorization.

3313380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3313380 is about 1820.2692108587. The cubic root of 3313380 is about 149.0814982883.

The spelling of 3313380 in words is "three million, three hundred thirteen thousand, three hundred eighty".