34340410401077 has 12 divisors (see below), whose sum is σ = 38119794424908. Its totient is φ = 30909460296000.

The previous prime is 34340410401049. The next prime is 34340410401079. The reversal of 34340410401077 is 77010401404343.

It can be written as a sum of positive squares in 2 ways, for example, as 31007178791281 + 3333231609796 = 5568409^2 + 1825714^2 .

It is not a de Polignac number, because 34340410401077 - 2¹⁸ = 34340410138933 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 34340410401077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340410401079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404963248 + ... + 1404987689.

It is an arithmetic number, because the mean of its divisors is an integer number (3176649535409).

Almost surely, 2^{34340410401077} is an apocalyptic number.

It is an amenable number.

34340410401077 is a deficient number, since it is larger than the sum of its proper divisors (3779384023831).

34340410401077 is a wasteful number, since it uses less digits than its factorization.

34340410401077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809951060 (or 2809951049 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 34340410401077 in words is "thirty-four trillion, three hundred forty billion, four hundred ten million, four hundred one thousand, seventy-seven".