34579912500 has 1080 divisors, whose sum is σ = 142564797144. Its totient is φ = 7257600000.

The previous prime is 34579912379. The next prime is 34579912501. The reversal of 34579912500 is 521997543.

It is a happy number.

34579912500 is a `hidden beast` number, since 3 + 4 + 57 + 9 + 91 + 2 + 500 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34259788836 + 320123664 = 185094^2 + 17892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34579912501) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 843412480 + ... + 843412520.

Almost surely, 2^34579912500 is an apocalyptic number.

34579912500 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 34579912500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71282398572).

34579912500 is an abundant number, since it is smaller than the sum of its proper divisors (107984884644).

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

34579912500 is a wasteful number, since it uses less digits than its factorization.

34579912500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 34579912500 in words is "thirty-four billion, five hundred seventy-nine million, nine hundred twelve thousand, five hundred".