3404530022400 has 864 divisors, whose sum is σ = 13437095752080. Its totient is φ = 818486968320.

The previous prime is 3404530022371. The next prime is 3404530022417. The reversal of 3404530022400 is 42200354043.

3404530022400 is a `hidden beast` number, since 3 + 404 + 5 + 30 + 0 + 224 + 0 + 0 = 666.

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, 257580592 + ... + 257593808.

Almost surely, 2^{3404530022400} is an apocalyptic number.

3404530022400 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 3404530022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718547876040).

3404530022400 is an abundant number, since it is smaller than the sum of its proper divisors (10032565729680).

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

3404530022400 is a wasteful number, since it uses less digits than its factorization.

3404530022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13311 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3404530022400 its reverse (42200354043), we get a palindrome (3446730376443).

The spelling of 3404530022400 in words is "three trillion, four hundred four billion, five hundred thirty million, twenty-two thousand, four hundred".