3606002560512 has 480 divisors, whose sum is σ = 11985799288320. Its totient is φ = 1032186101760.

The previous prime is 3606002560499. The next prime is 3606002560519. The reversal of 3606002560512 is 2150652006063.

It is a happy number.

3606002560512 is a `hidden beast` number, since 3 + 6 + 0 + 60 + 0 + 25 + 60 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3606002560519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339959113 + ... + 339969719.

It is an arithmetic number, because the mean of its divisors is an integer number (24970415184).

Almost surely, 2^{3606002560512} is an apocalyptic number.

3606002560512 is a gapful number since it is divisible by the number (32) 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 3606002560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992899644160).

3606002560512 is an abundant number, since it is smaller than the sum of its proper divisors (8379796727808).

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

3606002560512 is a wasteful number, since it uses less digits than its factorization.

3606002560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 3606002560512 its reverse (2150652006063), we get a palindrome (5756654566575).

The spelling of 3606002560512 in words is "three trillion, six hundred six billion, two million, five hundred sixty thousand, five hundred twelve".