34901000289 has 96 divisors (see below), whose sum is σ = 56070144000. Its totient is φ = 20822883840.

The previous prime is 34901000273. The next prime is 34901000291. The reversal of 34901000289 is 98200010943.

It is not a de Polignac number, because 34901000289 - 2⁴ = 34901000273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34901000689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97217092 + ... + 97217450.

It is an arithmetic number, because the mean of its divisors is an integer number (584064000).

Almost surely, 2^34901000289 is an apocalyptic number.

It is an amenable number.

34901000289 is a deficient number, since it is larger than the sum of its proper divisors (21169143711).

34901000289 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (34901000288) it forms an eRAP, since the sums of their prime factors are consecutive (714 and 715).

34901000289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 34901000289 in words is "thirty-four billion, nine hundred one million, two hundred eighty-nine", and thus it is an aban number.