3922366080800 has 72 divisors (see below), whose sum is σ = 9577064786436. Its totient is φ = 1568686141440.

The previous prime is 3922366080799. The next prime is 3922366080803. The reversal of 3922366080800 is 80806632293.

3922366080800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3252698818576 + 669667262224 = 1803524^2 + 818332^2 .

It is not an unprimeable number, because it can be changed into a prime (3922366080803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4454732 + ... + 5262068.

Almost surely, 2^{3922366080800} is an apocalyptic number.

It is an amenable number.

3922366080800 is an abundant number, since it is smaller than the sum of its proper divisors (5654698705636).

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

3922366080800 is a wasteful number, since it uses less digits than its factorization.

3922366080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813430 (or 813417 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 3922366080800 in words is "three trillion, nine hundred twenty-two billion, three hundred sixty-six million, eighty thousand, eight hundred".