3840788160 has 336 divisors, whose sum is σ = 14768181792. Its totient is φ = 908083200.

The previous prime is 3840788141. The next prime is 3840788173. The reversal of 3840788160 is 618870483.

3840788160 is a `hidden beast` number, since 3 + 8 + 407 + 88 + 160 = 666.

3840788160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1297402 + ... + 1300358.

It is an arithmetic number, because the mean of its divisors is an integer number (43952922).

Almost surely, 2^3840788160 is an apocalyptic number.

3840788160 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 3840788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384090896).

3840788160 is an abundant number, since it is smaller than the sum of its proper divisors (10927393632).

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

3840788160 is a wasteful number, since it uses less digits than its factorization.

3840788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3840788160 is about 61974.0926516879. The cubic root of 3840788160 is about 1566.0541860162.

The spelling of 3840788160 in words is "three billion, eight hundred forty million, seven hundred eighty-eight thousand, one hundred sixty".