34125500500 has 192 divisors, whose sum is σ = 91942276608. Its totient is φ = 10775116800.

The previous prime is 34125500447. The next prime is 34125500503. The reversal of 34125500500 is 500552143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125500503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35808024 + ... + 35808976.

It is an arithmetic number, because the mean of its divisors is an integer number (478866024).

Almost surely, 2^34125500500 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 34125500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45971138304).

34125500500 is an abundant number, since it is smaller than the sum of its proper divisors (57816776108).

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

34125500500 is a wasteful number, since it uses less digits than its factorization.

34125500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 34125500500 in words is "thirty-four billion, one hundred twenty-five million, five hundred thousand, five hundred".