34093940349 has 32 divisors (see below), whose sum is σ = 53033702400. Its totient is φ = 19474618800.

The previous prime is 34093940341. The next prime is 34093940357. The reversal of 34093940349 is 94304939043.

It is an interprime number because it is at equal distance from previous prime (34093940341) and next prime (34093940357).

It is not a de Polignac number, because 34093940349 - 2³ = 34093940341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34093940298 and 34093940307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34093940341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3587494 + ... + 3596984.

It is an arithmetic number, because the mean of its divisors is an integer number (1657303200).

Almost surely, 2^34093940349 is an apocalyptic number.

It is an amenable number.

34093940349 is a deficient number, since it is larger than the sum of its proper divisors (18939762051).

34093940349 is an equidigital number, since it uses as much as digits as its factorization.

34093940349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 12992 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 34093940349 in words is "thirty-four billion, ninety-three million, nine hundred forty thousand, three hundred forty-nine".