3328500 has 96 divisors (see below), whose sum is σ = 11112192. Its totient is φ = 758400.

The previous prime is 3328499. The next prime is 3328513. The reversal of 3328500 is 58233.

It is a super-2 number, since 2×3328500² = 22157824500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10342 + ... + 10658.

It is an arithmetic number, because the mean of its divisors is an integer number (115752).

Almost surely, 2^3328500 is an apocalyptic number.

3328500 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 3328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556096).

3328500 is an abundant number, since it is smaller than the sum of its proper divisors (7783692).

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

3328500 is a wasteful number, since it uses less digits than its factorization.

3328500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3328500 is about 1824.4177153273. The cubic root of 3328500 is about 149.3079228838.

It can be divided in two parts, 3328 and 500, that added together give a triangular number (3828 = T₈₇).

The spelling of 3328500 in words is "three million, three hundred twenty-eight thousand, five hundred".