34755951001 has 32 divisors (see below), whose sum is σ = 38270822400. Its totient is φ = 31437020160.

The previous prime is 34755950953. The next prime is 34755951031. The reversal of 34755951001 is 10015955743.

It is a cyclic number.

It is not a de Polignac number, because 34755951001 - 2²³ = 34747562393 is a prime.

It is a super-2 number, since 2×34755951001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34755951031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23626696 + ... + 23628166.

It is an arithmetic number, because the mean of its divisors is an integer number (1195963200).

Almost surely, 2^34755951001 is an apocalyptic number.

It is an amenable number.

34755951001 is a deficient number, since it is larger than the sum of its proper divisors (3514871399).

34755951001 is a wasteful number, since it uses less digits than its factorization.

34755951001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969.

The product of its (nonzero) digits is 94500, while the sum is 40.

The spelling of 34755951001 in words is "thirty-four billion, seven hundred fifty-five million, nine hundred fifty-one thousand, one".