3536116353 has 96 divisors (see below), whose sum is σ = 6772147200. Its totient is φ = 1722384000.

The previous prime is 3536116349. The next prime is 3536116357.

3536116353 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 11 + 635 + 3 = 666.

3536116353 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3536116349) and next prime (3536116357).

It is not a de Polignac number, because 3536116353 - 2² = 3536116349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3536116357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328538 + ... + 1331196.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 2^3536116353 is an apocalyptic number.

3536116353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3536116353 is a deficient number, since it is larger than the sum of its proper divisors (3236030847).

3536116353 is a wasteful number, since it uses less digits than its factorization.

3536116353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2800 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 3536116353 is about 59465.2533249460. The cubic root of 3536116353 is about 1523.4990306294.

The spelling of 3536116353 in words is "three billion, five hundred thirty-six million, one hundred sixteen thousand, three hundred fifty-three".