34875936001 has 9 divisors (see below), whose sum is σ = 36811866051. Its totient is φ = 33036998904.

The previous prime is 34875935959. The next prime is 34875936013. The reversal of 34875936001 is 10063957843.

The square root of 34875936001 is 186751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31755596401 + 3120339600 = 178201^2 + 55860^2 .

It is not a de Polignac number, because 34875936001 - 2¹⁵ = 34875903233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34875936041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3543355 + ... + 3553183.

It is an arithmetic number, because the mean of its divisors is an integer number (4090207339).

Almost surely, 2^34875936001 is an apocalyptic number.

34875936001 is the 186751-st square number.

34875936001 is the 93376-th centered octagonal number.

It is an amenable number.

34875936001 is a deficient number, since it is larger than the sum of its proper divisors (1935930050).

34875936001 is an frugal number, since it uses more digits than its factorization.

34875936001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19696 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 34875936001 in words is "thirty-four billion, eight hundred seventy-five million, nine hundred thirty-six thousand, one".