34106898878976 has 640 divisors, whose sum is σ = 122285458944000. Its totient is φ = 8181546024960.

The previous prime is 34106898878963. The next prime is 34106898878977. The reversal of 34106898878976 is 67987889860143.

It is a super-2 number, since 2×34106898878976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (34106898878977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78671250 + ... + 79103598.

It is an arithmetic number, because the mean of its divisors is an integer number (191071029600).

Almost surely, 2^{34106898878976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106898878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61142729472000).

34106898878976 is an abundant number, since it is smaller than the sum of its proper divisors (88178560065024).

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

34106898878976 is a wasteful number, since it uses less digits than its factorization.

34106898878976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432440 (or 432424 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 84.

The spelling of 34106898878976 in words is "thirty-four trillion, one hundred six billion, eight hundred ninety-eight million, eight hundred seventy-eight thousand, nine hundred seventy-six".