3434200000 has 336 divisors, whose sum is σ = 10667317248. Its totient is φ = 1065600000.

The previous prime is 3434199997. The next prime is 3434200001. The reversal of 3434200000 is 24343.

3434200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15399889 + ... + 15400111.

It is an arithmetic number, because the mean of its divisors is an integer number (31747968).

Almost surely, 2^3434200000 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 3434200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333658624).

3434200000 is an abundant number, since it is smaller than the sum of its proper divisors (7233117248).

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

3434200000 is an equidigital number, since it uses as much as digits as its factorization.

3434200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3434200000 is about 58602.0477457913. The cubic root of 3434200000 is about 1508.7195847156.

Adding to 3434200000 its reverse (24343), we get a palindrome (3434224343).

The spelling of 3434200000 in words is "three billion, four hundred thirty-four million, two hundred thousand".