3823722720 has 192 divisors, whose sum is σ = 13453957440. Its totient is φ = 1014257664.

The previous prime is 3823722677. The next prime is 3823722737. The reversal of 3823722720 is 272273283.

3823722720 is a `hidden beast` number, since 382 + 3 + 7 + 2 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848794 + ... + 853286.

It is an arithmetic number, because the mean of its divisors is an integer number (70072695).

Almost surely, 2^3823722720 is an apocalyptic number.

3823722720 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 3823722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726978720).

3823722720 is an abundant number, since it is smaller than the sum of its proper divisors (9630234720).

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

3823722720 is a wasteful number, since it uses less digits than its factorization.

3823722720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3823722720 is about 61836.2573252942. The cubic root of 3823722720 is about 1563.7313048044.

The spelling of 3823722720 in words is "three billion, eight hundred twenty-three million, seven hundred twenty-two thousand, seven hundred twenty".