3434504400 has 180 divisors, whose sum is σ = 12209908620. Its totient is φ = 893491200.

The previous prime is 3434504399. The next prime is 3434504453. The reversal of 3434504400 is 44054343.

It can be written as a sum of positive squares in 6 ways, for example, as 708411456 + 2726092944 = 26616^2 + 52212^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135966 + ... + 159234.

Almost surely, 2^3434504400 is an apocalyptic number.

3434504400 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 3434504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104954310).

3434504400 is an abundant number, since it is smaller than the sum of its proper divisors (8775404220).

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

3434504400 is a wasteful number, since it uses less digits than its factorization.

3434504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23334 (or 23320 counting only the distinct ones).

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

The square root of 3434504400 is about 58604.6448671093. The cubic root of 3434504400 is about 1508.7641599368.

Adding to 3434504400 its reverse (44054343), we get a palindrome (3478558743).

The spelling of 3434504400 in words is "three billion, four hundred thirty-four million, five hundred four thousand, four hundred".