35350016320 has 224 divisors, whose sum is σ = 90938725920. Its totient is φ = 13060669440.

The previous prime is 35350016309. The next prime is 35350016333. The reversal of 35350016320 is 2361005353.

It can be written as a sum of positive squares in 16 ways, for example, as 22622566464 + 12727449856 = 150408^2 + 112816^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20164564 + ... + 20166316.

It is an arithmetic number, because the mean of its divisors is an integer number (405976455).

Almost surely, 2^35350016320 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 35350016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45469362960).

35350016320 is an abundant number, since it is smaller than the sum of its proper divisors (55588709600).

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

35350016320 is a wasteful number, since it uses less digits than its factorization.

35350016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 35350016320 in words is "thirty-five billion, three hundred fifty million, sixteen thousand, three hundred twenty".