34023314500 has 192 divisors, whose sum is σ = 86647841280. Its totient is φ = 11430720000.

The previous prime is 34023314477. The next prime is 34023314579. The reversal of 34023314500 is 541332043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38531059 + ... + 38531941.

It is an arithmetic number, because the mean of its divisors is an integer number (451290840).

Almost surely, 2^34023314500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43323920640).

34023314500 is an abundant number, since it is smaller than the sum of its proper divisors (52624526780).

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

34023314500 is a wasteful number, since it uses less digits than its factorization.

34023314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34023314500 its reverse (541332043), we get a palindrome (34564646543).

The spelling of 34023314500 in words is "thirty-four billion, twenty-three million, three hundred fourteen thousand, five hundred".