34786377368743 has 128 divisors (see below), whose sum is σ = 50357821409280. Its totient is φ = 23122659409920.

The previous prime is 34786377368723. The next prime is 34786377368789.

It is a happy number.

34786377368743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34786377368743 - 2¹³ = 34786377360551 is a prime.

It is a super-4 number, since 4×34786377368743⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34786377368743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34786377368713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205668013 + ... + 205837081.

It is an arithmetic number, because the mean of its divisors is an integer number (393420479760).

Almost surely, 2^{34786377368743} is an apocalyptic number.

34786377368743 is a deficient number, since it is larger than the sum of its proper divisors (15571444040537).

34786377368743 is a wasteful number, since it uses less digits than its factorization.

34786377368743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169337.

The product of its digits is 7169347584, while the sum is 76.

The spelling of 34786377368743 in words is "thirty-four trillion, seven hundred eighty-six billion, three hundred seventy-seven million, three hundred sixty-eight thousand, seven hundred forty-three".