3822814494720 has 1152 divisors, whose sum is σ = 15389403775200. Its totient is φ = 869730877440.

The previous prime is 3822814494689. The next prime is 3822814494721. The reversal of 3822814494720 is 274944182283.

3822814494720 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 81 + 4 + 494 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3822814494720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822814494721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93239377900 + ... + 93239377940.

Almost surely, 2^{3822814494720} is an apocalyptic number.

3822814494720 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 3822814494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694701887600).

3822814494720 is an abundant number, since it is smaller than the sum of its proper divisors (11566589280480).

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

3822814494720 is an frugal number, since it uses more digits than its factorization.

3822814494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3822814494720 in words is "three trillion, eight hundred twenty-two billion, eight hundred fourteen million, four hundred ninety-four thousand, seven hundred twenty".