3819856320 has 560 divisors, whose sum is σ = 15976762560. Its totient is φ = 848019456.

The previous prime is 3819856247. The next prime is 3819856321. The reversal of 3819856320 is 236589183.

It is a happy number.

3819856320 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819856321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6712996 + ... + 6713564.

Almost surely, 2^3819856320 is an apocalyptic number.

3819856320 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 3819856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988381280).

3819856320 is an abundant number, since it is smaller than the sum of its proper divisors (12156906240).

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

3819856320 is a wasteful number, since it uses less digits than its factorization.

3819856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3819856320 is about 61804.9862066160. The cubic root of 3819856320 is about 1563.2040655897.

The spelling of 3819856320 in words is "three billion, eight hundred nineteen million, eight hundred fifty-six thousand, three hundred twenty".