34640751607001 has 16 divisors (see below), whose sum is σ = 36541315399680. Its totient is φ = 32773825056720.

The previous prime is 34640751606991. The next prime is 34640751607067. The reversal of 34640751607001 is 10070615704643.

It is a cyclic number.

It is not a de Polignac number, because 34640751607001 - 2²² = 34640747412697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34640751607081) 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, 6726665 + ... + 10701846.

It is an arithmetic number, because the mean of its divisors is an integer number (2283832212480).

Almost surely, 2^{34640751607001} is an apocalyptic number.

It is an amenable number.

34640751607001 is a deficient number, since it is larger than the sum of its proper divisors (1900563792679).

34640751607001 is a wasteful number, since it uses less digits than its factorization.

34640751607001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17429476.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 34640751607001 in words is "thirty-four trillion, six hundred forty billion, seven hundred fifty-one million, six hundred seven thousand, one".