34209006456375 has 64 divisors (see below), whose sum is σ = 63253696396800. Its totient is φ = 18243348314400.

The previous prime is 34209006456337. The next prime is 34209006456407. The reversal of 34209006456375 is 57365460090243.

34209006456375 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 9 + 0 + 0 + 6 + 4 + 563 + 75 = 666.

It is not a de Polignac number, because 34209006456375 - 2⁶ = 34209006456311 is a prime.

It is a super-2 number, since 2×34209006456375² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42596292 + ... + 43391958.

It is an arithmetic number, because the mean of its divisors is an integer number (988339006200).

Almost surely, 2^{34209006456375} is an apocalyptic number.

34209006456375 is a deficient number, since it is larger than the sum of its proper divisors (29044689940425).

34209006456375 is a wasteful number, since it uses less digits than its factorization.

34209006456375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808430 (or 808414 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 34209006456375 in words is "thirty-four trillion, two hundred nine billion, six million, four hundred fifty-six thousand, three hundred seventy-five".