34100768 has 24 divisors (see below), whose sum is σ = 72301068. Its totient is φ = 15738624.

The previous prime is 34100767. The next prime is 34100771. The reversal of 34100768 is 86700143.

It can be written as a sum of positive squares in 2 ways, for example, as 29724304 + 4376464 = 5452^2 + 2092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34100768.

It is not an unprimeable number, because it can be changed into a prime (34100767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40571 + ... + 41402.

Almost surely, 2^34100768 is an apocalyptic number.

It is an amenable number.

34100768 is an abundant number, since it is smaller than the sum of its proper divisors (38200300).

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

34100768 is a wasteful number, since it uses less digits than its factorization.

34100768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81996 (or 81988 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 34100768 is about 5839.5862867159. The cubic root of 34100768 is about 324.2809127020.

The spelling of 34100768 in words is "thirty-four million, one hundred thousand, seven hundred sixty-eight".