34232424000 has 224 divisors, whose sum is σ = 119686035456. Its totient is φ = 8591564800.

The previous prime is 34232423987. The next prime is 34232424053. The reversal of 34232424000 is 42423243.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366049 + ... + 449951.

Almost surely, 2^34232424000 is an apocalyptic number.

34232424000 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 34232424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59843017728).

34232424000 is an abundant number, since it is smaller than the sum of its proper divisors (85453611456).

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

34232424000 is a wasteful number, since it uses less digits than its factorization.

34232424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83950 (or 83930 counting only the distinct ones).

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

Adding to 34232424000 its reverse (42423243), we get a palindrome (34274847243).

The spelling of 34232424000 in words is "thirty-four billion, two hundred thirty-two million, four hundred twenty-four thousand".