3434421304400 has 120 divisors (see below), whose sum is σ = 8339255461824. Its totient is φ = 1359117619200.

The previous prime is 3434421304393. The next prime is 3434421304427. The reversal of 3434421304400 is 44031244343.

It is a super-2 number, since 2×3434421304400² (a number of 26 digits) 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 23 ways as a sum of consecutive naturals, for example, 119606045 + ... + 119634755.

Almost surely, 2^{3434421304400} 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 3434421304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169627730912).

3434421304400 is an abundant number, since it is smaller than the sum of its proper divisors (4904834157424).

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

3434421304400 is a wasteful number, since it uses less digits than its factorization.

3434421304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31909 (or 31898 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3434421304400 its reverse (44031244343), we get a palindrome (3478452548743).

The spelling of 3434421304400 in words is "three trillion, four hundred thirty-four billion, four hundred twenty-one million, three hundred four thousand, four hundred".