3434808400 has 60 divisors (see below), whose sum is σ = 8278961184. Its totient is φ = 1369456000.

The previous prime is 3434808371. The next prime is 3434808413. The reversal of 3434808400 is 48084343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110595 + ... + 138205.

Almost surely, 2^3434808400 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 3434808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139480592).

3434808400 is an abundant number, since it is smaller than the sum of its proper divisors (4844152784).

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

3434808400 is a wasteful number, since it uses less digits than its factorization.

3434808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27940 (or 27929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 3434808400 is about 58607.2384607908. The cubic root of 3434808400 is about 1508.8086739548.

The spelling of 3434808400 in words is "three billion, four hundred thirty-four million, eight hundred eight thousand, four hundred".