3855159360 has 560 divisors, whose sum is σ = 15660325296. Its totient is φ = 891813888.

The previous prime is 3855159323. The next prime is 3855159361. The reversal of 3855159360 is 639515583.

3855159360 is a `hidden beast` number, since 3 + 8 + 5 + 51 + 593 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 162409536 + 3692749824 = 12744^2 + 60768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3855159361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5727984 + ... + 5728656.

Almost surely, 2^3855159360 is an apocalyptic number.

3855159360 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 3855159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830162648).

3855159360 is an abundant number, since it is smaller than the sum of its proper divisors (11805165936).

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

3855159360 is a wasteful number, since it uses less digits than its factorization.

3855159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 3855159360 is about 62089.9296182561. The cubic root of 3855159360 is about 1568.0050065785.

The spelling of 3855159360 in words is "three billion, eight hundred fifty-five million, one hundred fifty-nine thousand, three hundred sixty".