3676795399200 has 1728 divisors, whose sum is σ = 15781605912576. Its totient is φ = 734469120000.

The previous prime is 3676795399187. The next prime is 3676795399201. The reversal of 3676795399200 is 29935976763.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3676795399201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11108143035 + ... + 11108143365.

It is an arithmetic number, because the mean of its divisors is an integer number (9132873792).

Almost surely, 2^{3676795399200} is an apocalyptic number.

3676795399200 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 3676795399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890802956288).

3676795399200 is an abundant number, since it is smaller than the sum of its proper divisors (12104810513376).

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

3676795399200 is a wasteful number, since it uses less digits than its factorization.

3676795399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 115736040, while the sum is 66.

The spelling of 3676795399200 in words is "three trillion, six hundred seventy-six billion, seven hundred ninety-five million, three hundred ninety-nine thousand, two hundred".