35361313344 has 420 divisors, whose sum is σ = 122751427344. Its totient is φ = 10092563712.

The previous prime is 35361313331. The next prime is 35361313373. The reversal of 35361313344 is 44331316353.

35361313344 is a `hidden beast` number, since 3 + 5 + 3 + 613 + 1 + 3 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35361313299 and 35361313308.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37339879 + ... + 37340825.

Almost surely, 2^35361313344 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 35361313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61375713672).

35361313344 is an abundant number, since it is smaller than the sum of its proper divisors (87390114000).

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

35361313344 is an frugal number, since it uses more digits than its factorization.

35361313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 959 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 35361313344 its reverse (44331316353), we get a palindrome (79692629697).

The spelling of 35361313344 in words is "thirty-five billion, three hundred sixty-one million, three hundred thirteen thousand, three hundred forty-four".