34684008007 has 8 divisors (see below), whose sum is σ = 37936938240. Its totient is φ = 31447717560.

The previous prime is 34684007993. The next prime is 34684008011. The reversal of 34684008007 is 70080048643.

34684008007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34684008007 - 2¹¹ = 34684005959 is a prime.

It is a super-2 number, since 2×34684008007² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34684008067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4155583 + ... + 4163920.

It is an arithmetic number, because the mean of its divisors is an integer number (4742117280).

Almost surely, 2^34684008007 is an apocalyptic number.

34684008007 is a deficient number, since it is larger than the sum of its proper divisors (3252930233).

34684008007 is a wasteful number, since it uses less digits than its factorization.

34684008007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319893.

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 34684008007 in words is "thirty-four billion, six hundred eighty-four million, eight thousand, seven".