34350115500 has 432 divisors, whose sum is σ = 115974846624. Its totient is φ = 8880969600.

The previous prime is 34350115483. The next prime is 34350115517. The reversal of 34350115500 is 551105343.

34350115500 is a `hidden beast` number, since 3 + 4 + 3 + 501 + 155 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34350115483) and next prime (34350115517).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121378359 + ... + 121378641.

Almost surely, 2^34350115500 is an apocalyptic number.

34350115500 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 34350115500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57987423312).

34350115500 is an abundant number, since it is smaller than the sum of its proper divisors (81624731124).

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

34350115500 is an equidigital number, since it uses as much as digits as its factorization.

34350115500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 34350115500 in words is "thirty-four billion, three hundred fifty million, one hundred fifteen thousand, five hundred".