3321230400 has 504 divisors, whose sum is σ = 12692888000. Its totient is φ = 821145600.

The previous prime is 3321230377. The next prime is 3321230443. The reversal of 3321230400 is 40321233.

3321230400 is a `hidden beast` number, since 3 + 32 + 1 + 230 + 400 = 666.

3321230400 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 2×3321230400² = 22061142739768320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16689501 + ... + 16689699.

Almost surely, 2^3321230400 is an apocalyptic number.

3321230400 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 3321230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346444000).

3321230400 is an abundant number, since it is smaller than the sum of its proper divisors (9371657600).

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

3321230400 is a wasteful number, since it uses less digits than its factorization.

3321230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3321230400 is about 57630.1171263776. The cubic root of 3321230400 is about 1491.9914515295.

Adding to 3321230400 its reverse (40321233), we get a palindrome (3361551633).

The spelling of 3321230400 in words is "three billion, three hundred twenty-one million, two hundred thirty thousand, four hundred".