3988820160 has 448 divisors, whose sum is σ = 16053206400. Its totient is φ = 923664384.

The previous prime is 3988820141. The next prime is 3988820201. The reversal of 3988820160 is 610288893.

3988820160 is a `hidden beast` number, since 398 + 88 + 20 + 160 = 666.

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

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, 1908396 + ... + 1910484.

It is an arithmetic number, because the mean of its divisors is an integer number (35833050).

Almost surely, 2^3988820160 is an apocalyptic number.

3988820160 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 3988820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026603200).

3988820160 is an abundant number, since it is smaller than the sum of its proper divisors (12064386240).

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

3988820160 is a wasteful number, since it uses less digits than its factorization.

3988820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3988820160 is about 63157.1069635081. The cubic root of 3988820160 is about 1585.9207645143.

The spelling of 3988820160 in words is "three billion, nine hundred eighty-eight million, eight hundred twenty thousand, one hundred sixty".