34012641366 has 64 divisors (see below), whose sum is σ = 82523750400. Its totient is φ = 10298253600.

The previous prime is 34012641359. The next prime is 34012641367. The reversal of 34012641366 is 66314621043.

34012641366 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 2 + 641 + 3 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34012641366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012641367) 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, 706731 + ... + 753321.

It is an arithmetic number, because the mean of its divisors is an integer number (1289433600).

Almost surely, 2^34012641366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012641366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261875200).

34012641366 is an abundant number, since it is smaller than the sum of its proper divisors (48511109034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34012641366 is a wasteful number, since it uses less digits than its factorization.

34012641366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47842 (or 47836 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34012641366 in words is "thirty-four billion, twelve million, six hundred forty-one thousand, three hundred sixty-six".