35242226800 has 240 divisors, whose sum is σ = 96287587200. Its totient is φ = 12278246400.

The previous prime is 35242226797. The next prime is 35242226801. The reversal of 35242226800 is 862224253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35242226801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17735407 + ... + 17737393.

It is an arithmetic number, because the mean of its divisors is an integer number (401198280).

Almost surely, 2^35242226800 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 35242226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48143793600).

35242226800 is an abundant number, since it is smaller than the sum of its proper divisors (61045360400).

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

35242226800 is a wasteful number, since it uses less digits than its factorization.

35242226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 35242226800 in words is "thirty-five billion, two hundred forty-two million, two hundred twenty-six thousand, eight hundred".