34501131329 has 24 divisors (see below), whose sum is σ = 40617062280. Its totient is φ = 29216968704.

The previous prime is 34501131293. The next prime is 34501131373. The reversal of 34501131329 is 92313110543.

It can be written as a sum of positive squares in 4 ways, for example, as 6896970304 + 27604161025 = 83048^2 + 166145^2 .

It is not a de Polignac number, because 34501131329 - 2¹² = 34501127233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34501131295 and 34501131304.

It is not an unprimeable number, because it can be changed into a prime (34501131529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7642577 + ... + 7647089.

It is an arithmetic number, because the mean of its divisors is an integer number (1692377595).

Almost surely, 2^34501131329 is an apocalyptic number.

It is an amenable number.

34501131329 is a deficient number, since it is larger than the sum of its proper divisors (6115930951).

34501131329 is a wasteful number, since it uses less digits than its factorization.

34501131329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 34501131329 in words is "thirty-four billion, five hundred one million, one hundred thirty-one thousand, three hundred twenty-nine".