34346800137 has 32 divisors (see below), whose sum is σ = 52418329600. Its totient is φ = 19829593152.

The previous prime is 34346800129. The next prime is 34346800139. The reversal of 34346800137 is 73100864343.

It is not a de Polignac number, because 34346800137 - 2³ = 34346800129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34346800095 and 34346800104.

It is not an unprimeable number, because it can be changed into a prime (34346800139) 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, 148687 + ... + 301332.

It is an arithmetic number, because the mean of its divisors is an integer number (1638072800).

Almost surely, 2^34346800137 is an apocalyptic number.

It is an amenable number.

34346800137 is a deficient number, since it is larger than the sum of its proper divisors (18071529463).

34346800137 is a wasteful number, since it uses less digits than its factorization.

34346800137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450157.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 34346800137 in words is "thirty-four billion, three hundred forty-six million, eight hundred thousand, one hundred thirty-seven".