3336960 has 144 divisors (see below), whose sum is σ = 11773440. Its totient is φ = 798720.

The previous prime is 3336941. The next prime is 3336967. The reversal of 3336960 is 696333.

It is a super-2 number, since 2×3336960² = 22270604083200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3336967) 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, 42201 + ... + 42279.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

Almost surely, 2^3336960 is an apocalyptic number.

3336960 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 3336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886720).

3336960 is an abundant number, since it is smaller than the sum of its proper divisors (8436480).

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

3336960 is a wasteful number, since it uses less digits than its factorization.

3336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

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

The square root of 3336960 is about 1826.7347919170. The cubic root of 3336960 is about 149.4343137869.

The spelling of 3336960 in words is "three million, three hundred thirty-six thousand, nine hundred sixty".