3434404400 has 120 divisors (see below), whose sum is σ = 9493511424. Its totient is φ = 1169568000.

The previous prime is 3434404397. The next prime is 3434404429. The reversal of 3434404400 is 44044343.

It is a self number, because there is not a number n which added to its sum of digits gives 3434404400.

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, 418739 + ... + 426861.

Almost surely, 2^3434404400 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 3434404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746755712).

3434404400 is an abundant number, since it is smaller than the sum of its proper divisors (6059107024).

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

3434404400 is a wasteful number, since it uses less digits than its factorization.

3434404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 3434404400 is about 58603.7916862041. The cubic root of 3434404400 is about 1508.7495165935.

Adding to 3434404400 its reverse (44044343), we get a palindrome (3478448743).

The spelling of 3434404400 in words is "three billion, four hundred thirty-four million, four hundred four thousand, four hundred".