3606130172736 has 896 divisors, whose sum is σ = 13460155269120. Its totient is φ = 921424896000.

The previous prime is 3606130172677. The next prime is 3606130172773. The reversal of 3606130172736 is 6372710316063.

It is a happy number.

3606130172736 is a `hidden beast` number, since 3 + 6 + 0 + 613 + 0 + 1 + 7 + 27 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3606130172691 and 3606130172700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 746453841 + ... + 746458671.

It is an arithmetic number, because the mean of its divisors is an integer number (15022494720).

Almost surely, 2^{3606130172736} is an apocalyptic number.

3606130172736 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 3606130172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730077634560).

3606130172736 is an abundant number, since it is smaller than the sum of its proper divisors (9854025096384).

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

3606130172736 is a wasteful number, since it uses less digits than its factorization.

3606130172736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

Adding to 3606130172736 its reverse (6372710316063), we get a palindrome (9978840488799).

The spelling of 3606130172736 in words is "three trillion, six hundred six billion, one hundred thirty million, one hundred seventy-two thousand, seven hundred thirty-six".