34242324000 has 192 divisors, whose sum is σ = 112572270720. Its totient is φ = 9099187200.

The previous prime is 34242323993. The next prime is 34242324019. The reversal of 34242324000 is 42324243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3511131 + ... + 3520869.

It is an arithmetic number, because the mean of its divisors is an integer number (586313910).

Almost surely, 2^34242324000 is an apocalyptic number.

34242324000 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 34242324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56286135360).

34242324000 is an abundant number, since it is smaller than the sum of its proper divisors (78329946720).

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

34242324000 is a wasteful number, since it uses less digits than its factorization.

34242324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34242324000 its reverse (42324243), we get a palindrome (34284648243).

The spelling of 34242324000 in words is "thirty-four billion, two hundred forty-two million, three hundred twenty-four thousand".