35304819872 has 96 divisors (see below), whose sum is σ = 81862099200. Its totient is φ = 14980358400.

The previous prime is 35304819871. The next prime is 35304819883. The reversal of 35304819872 is 27891840353.

It is a self number, because there is not a number n which added to its sum of digits gives 35304819872.

It is not an unprimeable number, because it can be changed into a prime (35304819871) 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 15 ways as a sum of consecutive naturals, for example, 1092653 + ... + 1124499.

It is an arithmetic number, because the mean of its divisors is an integer number (852730200).

Almost surely, 2^35304819872 is an apocalyptic number.

35304819872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35304819872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40931049600).

35304819872 is an abundant number, since it is smaller than the sum of its proper divisors (46557279328).

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

35304819872 is a wasteful number, since it uses less digits than its factorization.

35304819872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31979 (or 31957 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 35304819872 in words is "thirty-five billion, three hundred four million, eight hundred nineteen thousand, eight hundred seventy-two".