34388097887511 has 16 divisors (see below), whose sum is σ = 50947660433920. Its totient is φ = 22924349988120.

The previous prime is 34388097887477. The next prime is 34388097887513. The reversal of 34388097887511 is 11578879088343.

It is a happy number.

34388097887511 is a `hidden beast` number, since 3 + 4 + 38 + 8 + 0 + 9 + 78 + 8 + 7 + 511 = 666.

It is not a de Polignac number, because 34388097887511 - 2²⁷ = 34387963669783 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34388097887511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34388097887513) 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, 28526425 + ... + 29707458.

It is an arithmetic number, because the mean of its divisors is an integer number (3184228777120).

Almost surely, 2^{34388097887511} is an apocalyptic number.

34388097887511 is a deficient number, since it is larger than the sum of its proper divisors (16559562546409).

34388097887511 is a wasteful number, since it uses less digits than its factorization.

34388097887511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58255763 (or 58255757 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 34388097887511 in words is "thirty-four trillion, three hundred eighty-eight billion, ninety-seven million, eight hundred eighty-seven thousand, five hundred eleven".