34006672761 has 16 divisors (see below), whose sum is σ = 45655264704. Its totient is φ = 22515001344.

The previous prime is 34006672759. The next prime is 34006672771. The reversal of 34006672761 is 16727660043.

It is a happy number.

It is not a de Polignac number, because 34006672761 - 2¹ = 34006672759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34006672771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289845 + ... + 389901.

It is an arithmetic number, because the mean of its divisors is an integer number (2853454044).

Almost surely, 2^34006672761 is an apocalyptic number.

It is an amenable number.

34006672761 is a deficient number, since it is larger than the sum of its proper divisors (11648591943).

34006672761 is a wasteful number, since it uses less digits than its factorization.

34006672761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100840.

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 34006672761 in words is "thirty-four billion, six million, six hundred seventy-two thousand, seven hundred sixty-one".