34963996100 has 72 divisors (see below), whose sum is σ = 82836885600. Its totient is φ = 12703801600.

The previous prime is 34963996097. The next prime is 34963996129. The reversal of 34963996100 is 169936943.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405571 + ... + 1430229.

It is an arithmetic number, because the mean of its divisors is an integer number (1150512300).

Almost surely, 2^34963996100 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 34963996100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41418442800).

34963996100 is an abundant number, since it is smaller than the sum of its proper divisors (47872889500).

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

34963996100 is a wasteful number, since it uses less digits than its factorization.

34963996100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25973 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 50.

The spelling of 34963996100 in words is "thirty-four billion, nine hundred sixty-three million, nine hundred ninety-six thousand, one hundred".