34916940100 has 144 divisors (see below), whose sum is σ = 87676610560. Its totient is φ = 11822630400.

The previous prime is 34916940089. The next prime is 34916940103. The reversal of 34916940100 is 104961943.

It is a self number, because there is not a number n which added to its sum of digits gives 34916940100.

It is not an unprimeable number, because it can be changed into a prime (34916940103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32121757 + ... + 32122843.

Almost surely, 2^34916940100 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 34916940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43838305280).

34916940100 is an abundant number, since it is smaller than the sum of its proper divisors (52759670460).

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

34916940100 is a wasteful number, since it uses less digits than its factorization.

34916940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 34916940100 in words is "thirty-four billion, nine hundred sixteen million, nine hundred forty thousand, one hundred".