3823213680 has 480 divisors, whose sum is σ = 15326019072. Its totient is φ = 841881600.

The previous prime is 3823213627. The next prime is 3823213717. The reversal of 3823213680 is 863123283.

3823213680 is a `hidden beast` number, since 382 + 3 + 213 + 68 + 0 = 666.

3823213680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

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, 7309899 + ... + 7310421.

Almost surely, 2^3823213680 is an apocalyptic number.

3823213680 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 3823213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663009536).

3823213680 is an abundant number, since it is smaller than the sum of its proper divisors (11502805392).

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

3823213680 is a wasteful number, since it uses less digits than its factorization.

3823213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3823213680 is about 61832.1411565215. The cubic root of 3823213680 is about 1563.6619102059.

The spelling of 3823213680 in words is "three billion, eight hundred twenty-three million, two hundred thirteen thousand, six hundred eighty".