3332736 has 96 divisors (see below), whose sum is σ = 10501920. Its totient is φ = 1006080.

The previous prime is 3332713. The next prime is 3332737. The reversal of 3332736 is 6372333.

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

It is a super-2 number, since 2×3332736² = 22214258491392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12541 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (109395).

Almost surely, 2^3332736 is an apocalyptic number.

3332736 is a gapful number since it is divisible by the number (36) 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 3332736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250960).

3332736 is an abundant number, since it is smaller than the sum of its proper divisors (7169184).

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

3332736 is a wasteful number, since it uses less digits than its factorization.

3332736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its digits is 6804, while the sum is 27.

The square root of 3332736 is about 1825.5782645507. The cubic root of 3332736 is about 149.3712347107.

The spelling of 3332736 in words is "three million, three hundred thirty-two thousand, seven hundred thirty-six".