3820871520 has 384 divisors, whose sum is σ = 13988782080. Its totient is φ = 972933120.

The previous prime is 3820871513. The next prime is 3820871569. The reversal of 3820871520 is 251780283.

3820871520 is a `hidden beast` number, since 38 + 20 + 87 + 1 + 520 = 666.

It is a super-2 number, since 2×3820871520² = 29198118344694220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13793622 + ... + 13793898.

It is an arithmetic number, because the mean of its divisors is an integer number (36429120).

Almost surely, 2^3820871520 is an apocalyptic number.

3820871520 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 3820871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994391040).

3820871520 is an abundant number, since it is smaller than the sum of its proper divisors (10167910560).

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

3820871520 is a wasteful number, since it uses less digits than its factorization.

3820871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3820871520 is about 61813.1985905923. The cubic root of 3820871520 is about 1563.3425371330.

The spelling of 3820871520 in words is "three billion, eight hundred twenty million, eight hundred seventy-one thousand, five hundred twenty".