3823326720 has 480 divisors, whose sum is σ = 14064171264. Its totient is φ = 958464000.

The previous prime is 3823326713. The next prime is 3823326721. The reversal of 3823326720 is 276233283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3823326721) 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, 37854670 + ... + 37854770.

Almost surely, 2^3823326720 is an apocalyptic number.

3823326720 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 3823326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032085632).

3823326720 is an abundant number, since it is smaller than the sum of its proper divisors (10240844544).

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

3823326720 is a wasteful number, since it uses less digits than its factorization.

3823326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3823326720 is about 61833.0552374699. The cubic root of 3823326720 is about 1563.6773208539.

The spelling of 3823326720 in words is "three billion, eight hundred twenty-three million, three hundred twenty-six thousand, seven hundred twenty".