3783822336000 has 2800 divisors, whose sum is σ = 17323933358160. Its totient is φ = 819354009600.

The previous prime is 3783822335989. The next prime is 3783822336037. The reversal of 3783822336000 is 6332283873.

3783822336000 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 8 + 2 + 2 + 33 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a super-2 number, since 2×3783822336000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 199148543991 + ... + 199148544009.

Almost surely, 2^{3783822336000} is an apocalyptic number.

3783822336000 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 3783822336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661966679080).

3783822336000 is an abundant number, since it is smaller than the sum of its proper divisors (13540111022160).

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

3783822336000 is an frugal number, since it uses more digits than its factorization.

3783822336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3783822336000 in words is "three trillion, seven hundred eighty-three billion, eight hundred twenty-two million, three hundred thirty-six thousand".