3606792978600 has 1152 divisors, whose sum is σ = 15124346265600. Its totient is φ = 751684147200.

The previous prime is 3606792978589. The next prime is 3606792978601. The reversal of 3606792978600 is 68792976063.

3606792978600 is a `hidden beast` number, since 360 + 67 + 92 + 9 + 78 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3606792978601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1462014567 + ... + 1462017033.

It is an arithmetic number, because the mean of its divisors is an integer number (13128772800).

Almost surely, 2^{3606792978600} is an apocalyptic number.

3606792978600 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 3606792978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562173132800).

3606792978600 is an abundant number, since it is smaller than the sum of its proper divisors (11517553287000).

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

3606792978600 is a wasteful number, since it uses less digits than its factorization.

3606792978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 3606792978600 in words is "three trillion, six hundred six billion, seven hundred ninety-two million, nine hundred seventy-eight thousand, six hundred".