3339360 has 96 divisors (see below), whose sum is σ = 11702880. Its totient is φ = 889344.

The previous prime is 3339353. The next prime is 3339367. The reversal of 3339360 is 639333.

It is an interprime number because it is at equal distance from previous prime (3339353) and next prime (3339367).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3339360² = 22302650419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934 + ... + 4706.

It is an arithmetic number, because the mean of its divisors is an integer number (121905).

Almost surely, 2^3339360 is an apocalyptic number.

3339360 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 3339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851440).

3339360 is an abundant number, since it is smaller than the sum of its proper divisors (8363520).

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

3339360 is a wasteful number, since it uses less digits than its factorization.

3339360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 3339360 is about 1827.3915836514. The cubic root of 3339360 is about 149.4701304591.

Subtracting from 3339360 its sum of digits (27), we obtain a palindrome (3339333).

It can be divided in two parts, 33 and 39360, that added together give a palindrome (39393).

The spelling of 3339360 in words is "three million, three hundred thirty-nine thousand, three hundred sixty".