3329952 has 24 divisors (see below), whose sum is σ = 8741376. Its totient is φ = 1109952.

The previous prime is 3329939. The next prime is 3329981. The reversal of 3329952 is 2599233.

3329952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3329952² = 22177160644608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17248 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (364224).

Almost surely, 2^3329952 is an apocalyptic number.

3329952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3329952 is an abundant number, since it is smaller than the sum of its proper divisors (5411424).

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

3329952 is a wasteful number, since it uses less digits than its factorization.

3329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34700 (or 34692 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 3329952 is about 1824.8156071231. The cubic root of 3329952 is about 149.3296307189.

The spelling of 3329952 in words is "three million, three hundred twenty-nine thousand, nine hundred fifty-two".