3321022400 has 84 divisors (see below), whose sum is σ = 8326188072. Its totient is φ = 1303311360.

The previous prime is 3321022391. The next prime is 3321022429. The reversal of 3321022400 is 42201233.

3321022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321022400² = 22058379562603520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65219 + ... + 104381.

Almost surely, 2^3321022400 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 3321022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163094036).

3321022400 is an abundant number, since it is smaller than the sum of its proper divisors (5005165672).

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

3321022400 is a wasteful number, since it uses less digits than its factorization.

3321022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39238 (or 39223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3321022400 is about 57628.3124861383. The cubic root of 3321022400 is about 1491.9603043679.

Adding to 3321022400 its reverse (42201233), we get a palindrome (3363223633).

The spelling of 3321022400 in words is "three billion, three hundred twenty-one million, twenty-two thousand, four hundred".