34234401300 has 144 divisors (see below), whose sum is σ = 110095578432. Its totient is φ = 8142617600.

The previous prime is 34234401269. The next prime is 34234401301. The reversal of 34234401300 is 310443243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234401301) 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, 77032 + ... + 272768.

It is an arithmetic number, because the mean of its divisors is an integer number (764552628).

Almost surely, 2^34234401300 is an apocalyptic number.

34234401300 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 34234401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55047789216).

34234401300 is an abundant number, since it is smaller than the sum of its proper divisors (75861177132).

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

34234401300 is a wasteful number, since it uses less digits than its factorization.

34234401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195818 (or 195811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34234401300 its reverse (310443243), we get a palindrome (34544844543).

It can be divided in two parts, 34234 and 401300, that added together give a palindrome (435534).

The spelling of 34234401300 in words is "thirty-four billion, two hundred thirty-four million, four hundred one thousand, three hundred".