3325200 has 120 divisors (see below), whose sum is σ = 11347488. Its totient is φ = 829440.

The previous prime is 3325187. The next prime is 3325211. The reversal of 3325200 is 25233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3325200² = 22113910080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3325200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20319 + ... + 20481.

Almost surely, 2^3325200 is an apocalyptic number.

3325200 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 3325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673744).

3325200 is an abundant number, since it is smaller than the sum of its proper divisors (8022288).

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

3325200 is a wasteful number, since it uses less digits than its factorization.

3325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3325200 is about 1823.5130929061. The cubic root of 3325200 is about 149.2585634058.

The spelling of 3325200 in words is "three million, three hundred twenty-five thousand, two hundred".