34300011000 has 256 divisors, whose sum is σ = 111752784000. Its totient is φ = 8747827200.

The previous prime is 34300010989. The next prime is 34300011013. The reversal of 34300011000 is 11000343.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9481192 + ... + 9484808.

Almost surely, 2^34300011000 is an apocalyptic number.

34300011000 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 34300011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55876392000).

34300011000 is an abundant number, since it is smaller than the sum of its proper divisors (77452773000).

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

34300011000 is a wasteful number, since it uses less digits than its factorization.

34300011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3765 counting only the distinct ones).

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

Adding to 34300011000 its reverse (11000343), we get a palindrome (34311011343).

The spelling of 34300011000 in words is "thirty-four billion, three hundred million, eleven thousand".