3321322400 has 144 divisors (see below), whose sum is σ = 8996611680. Its totient is φ = 1187097600.

The previous prime is 3321322399. The next prime is 3321322409. The reversal of 3321322400 is 42231233.

It is a super-2 number, since 2×3321322400² = 22062364969483520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3321322409) 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, 516002 + ... + 522398.

It is an arithmetic number, because the mean of its divisors is an integer number (62476470).

Almost surely, 2^3321322400 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 3321322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498305840).

3321322400 is an abundant number, since it is smaller than the sum of its proper divisors (5675289280).

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

3321322400 is a wasteful number, since it uses less digits than its factorization.

3321322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3321322400 is about 57630.9153146122. The cubic root of 3321322400 is about 1492.0052277439.

Adding to 3321322400 its reverse (42231233), we get a palindrome (3363553633).

The spelling of 3321322400 in words is "three billion, three hundred twenty-one million, three hundred twenty-two thousand, four hundred".