34519952349 has 24 divisors (see below), whose sum is σ = 50055014880. Its totient is φ = 22924460832.

The previous prime is 34519952329. The next prime is 34519952351. The reversal of 34519952349 is 94325991543.

34519952349 is a `hidden beast` number, since 3 + 4 + 519 + 95 + 2 + 34 + 9 = 666.

It is not a de Polignac number, because 34519952349 - 2⁵ = 34519952317 is a prime.

It is a super-2 number, since 2×34519952349² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34519952295 and 34519952304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34519952329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2596882 + ... + 2610140.

It is an arithmetic number, because the mean of its divisors is an integer number (2085625620).

Almost surely, 2^34519952349 is an apocalyptic number.

It is an amenable number.

34519952349 is a deficient number, since it is larger than the sum of its proper divisors (15535062531).

34519952349 is a wasteful number, since it uses less digits than its factorization.

34519952349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361 (or 14358 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 34519952349 in words is "thirty-four billion, five hundred nineteen million, nine hundred fifty-two thousand, three hundred forty-nine".