34300110000 has 400 divisors, whose sum is σ = 122516957024. Its totient is φ = 8211456000.

The previous prime is 34300109999. The next prime is 34300110001. The reversal of 34300110000 is 1100343.

It is an interprime number because it is at equal distance from previous prime (34300109999) and next prime (34300110001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34300110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14428812 + ... + 14431188.

Almost surely, 2^34300110000 is an apocalyptic number.

34300110000 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 34300110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61258478512).

34300110000 is an abundant number, since it is smaller than the sum of its proper divisors (88216847024).

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

34300110000 is a wasteful number, since it uses less digits than its factorization.

34300110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 34300110000 its reverse (1100343), we get a palindrome (34301210343).

The spelling of 34300110000 in words is "thirty-four billion, three hundred million, one hundred ten thousand".