3363960 has 96 divisors (see below), whose sum is σ = 10830960. Its totient is φ = 835584.

The previous prime is 3363959. The next prime is 3363961. The reversal of 3363960 is 693633.

3363960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3363959) and next prime (3363961).

It is a super-2 number, since 2×3363960² = 22632453763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34632 + ... + 34728.

Almost surely, 2^3363960 is an apocalyptic number.

3363960 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 3363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415480).

3363960 is an abundant number, since it is smaller than the sum of its proper divisors (7467000).

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

3363960 is a wasteful number, since it uses less digits than its factorization.

3363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 3363960 is about 1834.1101384595. The cubic root of 3363960 is about 149.8362657835.

The spelling of 3363960 in words is "three million, three hundred sixty-three thousand, nine hundred sixty".