36735103700000 has 288 divisors, whose sum is σ = 91630932901200. Its totient is φ = 14494671360000.

The previous prime is 36735103699981. The next prime is 36735103700023. The reversal of 36735103700000 is 730153763.

It can be written as a sum of positive squares in 24 ways, for example, as 22323999629584 + 14411104070416 = 4724828^2 + 3796196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496092642 + ... + 2496107358.

Almost surely, 2^{36735103700000} 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 36735103700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45815466450600).

36735103700000 is an abundant number, since it is smaller than the sum of its proper divisors (54895829201200).

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

36735103700000 is a wasteful number, since it uses less digits than its factorization.

36735103700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15090 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 35.

Adding to 36735103700000 its reverse (730153763), we get a palindrome (36735833853763).

The spelling of 36735103700000 in words is "thirty-six trillion, seven hundred thirty-five billion, one hundred three million, seven hundred thousand".