34386121 has 32 divisors (see below), whose sum is σ = 45999360. Its totient is φ = 24883200.

The previous prime is 34386119. The next prime is 34386133. The reversal of 34386121 is 12168343.

It is a 4-Lehmer number, since φ(34386121) divides (34386121-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 34386121 - 2¹ = 34386119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34386121.

It is not an unprimeable number, because it can be changed into a prime (34386101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142561 + ... + 142801.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

It is a Poulet number, since it divides 2^34386120-1.

Almost surely, 2^34386121 is an apocalyptic number.

It is an amenable number.

34386121 is a deficient number, since it is larger than the sum of its proper divisors (11613239).

34386121 is a wasteful number, since it uses less digits than its factorization.

34386121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its digits is 3456, while the sum is 28.

The square root of 34386121 is about 5863.9680251516. The cubic root of 34386121 is about 325.1829218776.

It can be divided in two parts, 3438 and 6121, that added together give a palindrome (9559).

The spelling of 34386121 in words is "thirty-four million, three hundred eighty-six thousand, one hundred twenty-one".