3321004400 has 180 divisors, whose sum is σ = 9828308448. Its totient is φ = 1071544320.

The previous prime is 3321004399. The next prime is 3321004409. The reversal of 3321004400 is 44001233.

It is a super-2 number, since 2×3321004400² = 22058140449638720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321004409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328217 + ... + 338183.

Almost surely, 2^3321004400 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 3321004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914154224).

3321004400 is an abundant number, since it is smaller than the sum of its proper divisors (6507304048).

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

3321004400 is a wasteful number, since it uses less digits than its factorization.

3321004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 9998 counting only the distinct ones).

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

The square root of 3321004400 is about 57628.1563126915. The cubic root of 3321004400 is about 1491.9576088793.

Adding to 3321004400 its reverse (44001233), we get a palindrome (3365005633).

The spelling of 3321004400 in words is "three billion, three hundred twenty-one million, four thousand, four hundred".