34725735233 has 16 divisors (see below), whose sum is σ = 39858024576. Its totient is φ = 29636530560.

The previous prime is 34725735223. The next prime is 34725735269. The reversal of 34725735233 is 33253752743.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-34725735233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34725735223) 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, 2053310 + ... + 2070152.

It is an arithmetic number, because the mean of its divisors is an integer number (2491126536).

Almost surely, 2^34725735233 is an apocalyptic number.

It is an amenable number.

34725735233 is a deficient number, since it is larger than the sum of its proper divisors (5132289343).

34725735233 is a wasteful number, since it uses less digits than its factorization.

34725735233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18104.

The product of its digits is 1587600, while the sum is 44.

The spelling of 34725735233 in words is "thirty-four billion, seven hundred twenty-five million, seven hundred thirty-five thousand, two hundred thirty-three".