34424166361 has 8 divisors (see below), whose sum is σ = 37454367944. Its totient is φ = 31448563200.

The previous prime is 34424166331. The next prime is 34424166377. The reversal of 34424166361 is 16366142443.

34424166361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 487526400 + 33936639961 = 22080^2 + 184219^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34424166361 - 2³³ = 25834231769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34424166311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13648290 + ... + 13650811.

It is an arithmetic number, because the mean of its divisors is an integer number (4681795993).

Almost surely, 2^34424166361 is an apocalyptic number.

It is an amenable number.

34424166361 is a deficient number, since it is larger than the sum of its proper divisors (3030201583).

34424166361 is a wasteful number, since it uses less digits than its factorization.

34424166361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27299211.

The product of its digits is 248832, while the sum is 40.

The spelling of 34424166361 in words is "thirty-four billion, four hundred twenty-four million, one hundred sixty-six thousand, three hundred sixty-one".