34345502500 has 60 divisors (see below), whose sum is σ = 75772029564. Its totient is φ = 13616512000.

The previous prime is 34345502467. The next prime is 34345502501. The reversal of 34345502500 is 520554343.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 34293113856 + 52388644 = 185184^2 + 7238^2 .

It is a super-2 number, since 2×34345502500² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34345502501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221712 + ... + 343288.

Almost surely, 2^34345502500 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 34345502500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37886014782).

34345502500 is an abundant number, since it is smaller than the sum of its proper divisors (41426527064).

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

34345502500 is a wasteful number, since it uses less digits than its factorization.

34345502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121714 (or 121697 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 34345502500 in words is "thirty-four billion, three hundred forty-five million, five hundred two thousand, five hundred".