3329920 has 96 divisors (see below), whose sum is σ = 8953560. Its totient is φ = 1182720.

The previous prime is 3329899. The next prime is 3329923. The reversal of 3329920 is 299233.

3329920 = T₁₈₉ + T₁₉₀ + ... + T₂₉₈.

It is a happy number.

3329920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3329920² = 22176734412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329923) 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, 77419 + ... + 77461.

Almost surely, 2^3329920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476780).

3329920 is an abundant number, since it is smaller than the sum of its proper divisors (5623640).

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

3329920 is a wasteful number, since it uses less digits than its factorization.

3329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3329920 is about 1824.8068390928. The cubic root of 3329920 is about 149.3291523773.

It can be divided in two parts, 3 and 329920, that added together give a palindrome (329923).

The spelling of 3329920 in words is "three million, three hundred twenty-nine thousand, nine hundred twenty".