3536996031360 has 1152 divisors, whose sum is σ = 14324995994400. Its totient is φ = 800756858880.

The previous prime is 3536996031311. The next prime is 3536996031383. The reversal of 3536996031360 is 631306996353.

3536996031360 is a `hidden beast` number, since 3 + 536 + 9 + 96 + 0 + 3 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 3536996031297 and 3536996031306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1623218751 + ... + 1623220929.

Almost surely, 2^{3536996031360} is an apocalyptic number.

3536996031360 is a gapful number since it is divisible by the number (30) 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 3536996031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162497997200).

3536996031360 is an abundant number, since it is smaller than the sum of its proper divisors (10787999963040).

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

3536996031360 is a wasteful number, since it uses less digits than its factorization.

3536996031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 54.

The spelling of 3536996031360 in words is "three trillion, five hundred thirty-six billion, nine hundred ninety-six million, thirty-one thousand, three hundred sixty".