3863985120 has 240 divisors, whose sum is σ = 13689200448. Its totient is φ = 1026432000.

The previous prime is 3863985109. The next prime is 3863985121. The reversal of 3863985120 is 215893683.

It is a happy number.

3863985120 is a `hidden beast` number, since 3 + 8 + 639 + 8 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3863985121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5144745 + ... + 5145495.

Almost surely, 2^3863985120 is an apocalyptic number.

3863985120 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 3863985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844600224).

3863985120 is an abundant number, since it is smaller than the sum of its proper divisors (9825215328).

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

3863985120 is a wasteful number, since it uses less digits than its factorization.

3863985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

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

The square root of 3863985120 is about 62160.9613825269. The cubic root of 3863985120 is about 1569.2006587249.

The spelling of 3863985120 in words is "three billion, eight hundred sixty-three million, nine hundred eighty-five thousand, one hundred twenty".