34742640500 has 48 divisors (see below), whose sum is σ = 75898948944. Its totient is φ = 13893206400.

The previous prime is 34742640479. The next prime is 34742640511. The reversal of 34742640500 is 504624743.

34742640500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7280184976 + 27462455524 = 85324^2 + 165718^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399282 + ... + 2413718.

It is an arithmetic number, because the mean of its divisors is an integer number (1581228103).

Almost surely, 2^34742640500 is an apocalyptic number.

It is an amenable number.

34742640500 is an abundant number, since it is smaller than the sum of its proper divisors (41156308444).

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

34742640500 is a wasteful number, since it uses less digits than its factorization.

34742640500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19269 (or 19257 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 34742640500 in words is "thirty-four billion, seven hundred forty-two million, six hundred forty thousand, five hundred".