3333960 has 192 divisors, whose sum is σ = 13104000. Its totient is φ = 762048.

The previous prime is 3333943. The next prime is 3333961. The reversal of 3333960 is 693333.

It is a super-2 number, since 2×3333960² = 22230578563200, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476277 + ... + 476283.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

Almost surely, 2^3333960 is an apocalyptic number.

3333960 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 3333960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

3333960 is an abundant number, since it is smaller than the sum of its proper divisors (9770040).

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

3333960 is an equidigital number, since it uses as much as digits as its factorization.

3333960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

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

The square root of 3333960 is about 1825.9134700199. The cubic root of 3333960 is about 149.3895187886.

The spelling of 3333960 in words is "three million, three hundred thirty-three thousand, nine hundred sixty".