34120804500 has 120 divisors (see below), whose sum is σ = 111319888680. Its totient is φ = 9098870400.

The previous prime is 34120804453. The next prime is 34120804547. The reversal of 34120804500 is 540802143.

34120804500 is a `hidden beast` number, since 3 + 4 + 1 + 208 + 0 + 450 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34120804453) and next prime (34120804547).

It can be written as a sum of positive squares in 4 ways, for example, as 629608464 + 33491196036 = 25092^2 + 183006^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 380745 + ... + 461744.

It is an arithmetic number, because the mean of its divisors is an integer number (927665739).

Almost surely, 2^34120804500 is an apocalyptic number.

34120804500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34120804500 is an abundant number, since it is smaller than the sum of its proper divisors (77199084180).

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

34120804500 is a wasteful number, since it uses less digits than its factorization.

34120804500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842520 (or 842499 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 34120804500 in words is "thirty-four billion, one hundred twenty million, eight hundred four thousand, five hundred".