34820749341 has 64 divisors (see below), whose sum is σ = 63214387200. Its totient is φ = 18489938688.

The previous prime is 34820749331. The next prime is 34820749351. The reversal of 34820749341 is 14394702843.

34820749341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34820749331) and next prime (34820749351).

It is not a de Polignac number, because 34820749341 - 2¹³ = 34820741149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820749331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185236 + ... + 322418.

It is an arithmetic number, because the mean of its divisors is an integer number (987724800).

Almost surely, 2^34820749341 is an apocalyptic number.

It is an amenable number.

34820749341 is a deficient number, since it is larger than the sum of its proper divisors (28393637859).

34820749341 is a wasteful number, since it uses less digits than its factorization.

34820749341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137295 (or 137289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34820749341 in words is "thirty-four billion, eight hundred twenty million, seven hundred forty-nine thousand, three hundred forty-one".