3322330400 has 144 divisors (see below), whose sum is σ = 8639447040. Its totient is φ = 1243238400.

The previous prime is 3322330399. The next prime is 3322330421. The reversal of 3322330400 is 40332233.

It is a super-2 number, since 2×3322330400² = 22075758573528320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2596961 + ... + 2598239.

It is an arithmetic number, because the mean of its divisors is an integer number (59996160).

Almost surely, 2^3322330400 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 3322330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319723520).

3322330400 is an abundant number, since it is smaller than the sum of its proper divisors (5317116640).

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

3322330400 is a wasteful number, since it uses less digits than its factorization.

3322330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3322330400 is about 57639.6599573592. The cubic root of 3322330400 is about 1492.1561504758.

Adding to 3322330400 its reverse (40332233), we get a palindrome (3362662633).

The spelling of 3322330400 in words is "three billion, three hundred twenty-two million, three hundred thirty thousand, four hundred".