3352800 has 144 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 806400.

The previous prime is 3352787. The next prime is 3352807. The reversal of 3352800 is 82533.

It is a super-2 number, since 2×3352800² = 22482535680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26337 + ... + 26463.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

Almost surely, 2^3352800 is an apocalyptic number.

3352800 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 3352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3352800 is an abundant number, since it is smaller than the sum of its proper divisors (8646432).

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

3352800 is a wasteful number, since it uses less digits than its factorization.

3352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

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

The square root of 3352800 is about 1831.0652637195. The cubic root of 3352800 is about 149.6703873450.

It can be divided in two parts, 33 and 52800, that multiplied together give a square (1742400 = 1320²).

The spelling of 3352800 in words is "three million, three hundred fifty-two thousand, eight hundred".