34873249775 has 36 divisors (see below), whose sum is σ = 54172360872. Its totient is φ = 22073607360.

The previous prime is 34873249769. The next prime is 34873249811. The reversal of 34873249775 is 57794237843.

It is not a de Polignac number, because 34873249775 - 2²⁶ = 34806140911 is a prime.

It is a super-3 number, since 3×34873249775³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1078997 + ... + 1110846.

It is an arithmetic number, because the mean of its divisors is an integer number (1504787802).

Almost surely, 2^34873249775 is an apocalyptic number.

34873249775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34873249775 is a deficient number, since it is larger than the sum of its proper divisors (19299111097).

34873249775 is a wasteful number, since it uses less digits than its factorization.

34873249775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189880 (or 2189868 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 59.

The spelling of 34873249775 in words is "thirty-four billion, eight hundred seventy-three million, two hundred forty-nine thousand, seven hundred seventy-five".