3036726091200 has 672 divisors, whose sum is σ = 10443403365120. Its totient is φ = 771563520000.

The previous prime is 3036726091193. The next prime is 3036726091237. The reversal of 3036726091200 is 21906276303.

3036726091200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4394682855 + ... + 4394683545.

Almost surely, 2^{3036726091200} is an apocalyptic number.

3036726091200 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 3036726091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221701682560).

3036726091200 is an abundant number, since it is smaller than the sum of its proper divisors (7406677273920).

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

3036726091200 is a wasteful number, since it uses less digits than its factorization.

3036726091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 3036726091200 in words is "three trillion, thirty-six billion, seven hundred twenty-six million, ninety-one thousand, two hundred".