34468788500 has 48 divisors (see below), whose sum is σ = 76700267280. Its totient is φ = 13527363200.

The previous prime is 34468788491. The next prime is 34468788509. The reversal of 34468788500 is 588786443.

34468788500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34468788491) and next prime (34468788509).

It can be written as a sum of positive squares in 8 ways, for example, as 4176778384 + 30292010116 = 64628^2 + 174046^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34468788509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623855 + ... + 676854.

It is an arithmetic number, because the mean of its divisors is an integer number (1597922235).

Almost surely, 2^34468788500 is an apocalyptic number.

It is an amenable number.

34468788500 is an abundant number, since it is smaller than the sum of its proper divisors (42231478780).

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

34468788500 is a wasteful number, since it uses less digits than its factorization.

34468788500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300781 (or 1300769 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 34468788500 in words is "thirty-four billion, four hundred sixty-eight million, seven hundred eighty-eight thousand, five hundred".