3823664000 has 256 divisors, whose sum is σ = 10585935360. Its totient is φ = 1363968000.

The previous prime is 3823663997. The next prime is 3823664029. The reversal of 3823664000 is 4663283.

3823664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 6447704 + ... + 6448296.

It is an arithmetic number, because the mean of its divisors is an integer number (41351310).

Almost surely, 2^3823664000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292967680).

3823664000 is an abundant number, since it is smaller than the sum of its proper divisors (6762271360).

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

3823664000 is a wasteful number, since it uses less digits than its factorization.

3823664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3823664000 is about 61835.7825211261. The cubic root of 3823664000 is about 1563.7233001469.

The spelling of 3823664000 in words is "three billion, eight hundred twenty-three million, six hundred sixty-four thousand".