34230924000 has 1536 divisors, whose sum is σ = 158858219520. Its totient is φ = 7054387200.

The previous prime is 34230923999. The next prime is 34230924037. The reversal of 34230924000 is 42903243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 796067979 + ... + 796068021.

It is an arithmetic number, because the mean of its divisors is an integer number (103423320).

Almost surely, 2^34230924000 is an apocalyptic number.

34230924000 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 34230924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79429109760).

34230924000 is an abundant number, since it is smaller than the sum of its proper divisors (124627295520).

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

34230924000 is an equidigital number, since it uses as much as digits as its factorization.

34230924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34230924000 in words is "thirty-four billion, two hundred thirty million, nine hundred twenty-four thousand".