3820855680 has 384 divisors, whose sum is σ = 13931274240. Its totient is φ = 963072000.

The previous prime is 3820855669. The next prime is 3820855681. The reversal of 3820855680 is 865580283.

It is a happy number.

3820855680 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (3820855681) 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, 20004385 + ... + 20004575.

It is an arithmetic number, because the mean of its divisors is an integer number (36279360).

Almost surely, 2^3820855680 is an apocalyptic number.

3820855680 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 3820855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965637120).

3820855680 is an abundant number, since it is smaller than the sum of its proper divisors (10110418560).

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

3820855680 is a wasteful number, since it uses less digits than its factorization.

3820855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 3820855680 is about 61813.0704624839. The cubic root of 3820855680 is about 1563.3403767724.

The spelling of 3820855680 in words is "three billion, eight hundred twenty million, eight hundred fifty-five thousand, six hundred eighty".