3201364516536 has 128 divisors (see below), whose sum is σ = 8941083782400. Its totient is φ = 1061328147840.

The previous prime is 3201364516531. The next prime is 3201364516589. The reversal of 3201364516536 is 6356154631023.

3201364516536 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 3 + 64 + 51 + 6 + 536 = 666.

3201364516536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3201364516491 and 3201364516500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201364516531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30517471 + ... + 30622193.

It is an arithmetic number, because the mean of its divisors is an integer number (69852217050).

Almost surely, 2^{3201364516536} is an apocalyptic number.

3201364516536 is a gapful number since it is divisible by the number (36) 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 3201364516536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470541891200).

3201364516536 is an abundant number, since it is smaller than the sum of its proper divisors (5739719265864).

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

3201364516536 is a wasteful number, since it uses less digits than its factorization.

3201364516536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105506 (or 105496 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3201364516536 in words is "three trillion, two hundred one billion, three hundred sixty-four million, five hundred sixteen thousand, five hundred thirty-six".