3334320 has 120 divisors (see below), whose sum is σ = 12244752. Its totient is φ = 806400.

The previous prime is 3334307. The next prime is 3334337. The reversal of 3334320 is 234333.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3334320² = 22235379724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3334293 and 3334302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7710 + ... + 8130.

Almost surely, 2^3334320 is an apocalyptic number.

3334320 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 3334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122376).

3334320 is an abundant number, since it is smaller than the sum of its proper divisors (8910432).

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

3334320 is a wasteful number, since it uses less digits than its factorization.

3334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3334320 is about 1826.0120481530. The cubic root of 3334320 is about 149.3948956069.

Adding to 3334320 its reverse (234333), we get a palindrome (3568653).

The spelling of 3334320 in words is "three million, three hundred thirty-four thousand, three hundred twenty".