3322800 has 180 divisors, whose sum is σ = 12592944. Its totient is φ = 806400.

The previous prime is 3322793. The next prime is 3322807. The reversal of 3322800 is 82233.

3322800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3322793) and next prime (3322807).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3322800² = 22081999680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3322807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46765 + ... + 46835.

Almost surely, 2^3322800 is an apocalyptic number.

3322800 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 3322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

3322800 is an abundant number, since it is smaller than the sum of its proper divisors (9270144).

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

3322800 is a wasteful number, since it uses less digits than its factorization.

3322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3322800 is about 1822.8549037156. The cubic root of 3322800 is about 149.2226450881. Note that the first 3 decimals are identical.

The spelling of 3322800 in words is "three million, three hundred twenty-two thousand, eight hundred".