3863504160 has 144 divisors (see below), whose sum is σ = 13221392184. Its totient is φ = 1027362816.

The previous prime is 3863504159. The next prime is 3863504171. The reversal of 3863504160 is 614053683.

3863504160 is a `hidden beast` number, since 3 + 8 + 635 + 0 + 4 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2225197584 + 1638306576 = 47172^2 + 40476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533524 + ... + 540716.

Almost surely, 2^3863504160 is an apocalyptic number.

3863504160 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 3863504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610696092).

3863504160 is an abundant number, since it is smaller than the sum of its proper divisors (9357888024).

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

3863504160 is a wasteful number, since it uses less digits than its factorization.

3863504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3863504160 is about 62157.0925960988. The cubic root of 3863504160 is about 1569.1355485651.

The spelling of 3863504160 in words is "three billion, eight hundred sixty-three million, five hundred four thousand, one hundred sixty".