34430200000 has 168 divisors, whose sum is σ = 97601190624. Its totient is φ = 11804160000.

The previous prime is 34430199989. The next prime is 34430200019. The reversal of 34430200000 is 203443.

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

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, 1387704 + ... + 1412296.

It is an arithmetic number, because the mean of its divisors is an integer number (580959468).

Almost surely, 2^34430200000 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 34430200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800595312).

34430200000 is an abundant number, since it is smaller than the sum of its proper divisors (63170990624).

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

34430200000 is an frugal number, since it uses more digits than its factorization.

34430200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24637 (or 24607 counting only the distinct ones).

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

Adding to 34430200000 its reverse (203443), we get a palindrome (34430403443).

The spelling of 34430200000 in words is "thirty-four billion, four hundred thirty million, two hundred thousand".