3842588880 has 960 divisors, whose sum is σ = 16378951680. Its totient is φ = 796262400.

The previous prime is 3842588857. The next prime is 3842588887. The reversal of 3842588880 is 888852483.

3842588880 is a `hidden beast` number, since 384 + 258 + 8 + 8 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842588887) 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 191 ways as a sum of consecutive naturals, for example, 93721660 + ... + 93721700.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3842588880 is an apocalyptic number.

3842588880 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 3842588880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

3842588880 is an abundant number, since it is smaller than the sum of its proper divisors (12536362800).

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

3842588880 is a wasteful number, since it uses less digits than its factorization.

3842588880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The square root of 3842588880 is about 61988.6189554179. The cubic root of 3842588880 is about 1566.2988913889.

The spelling of 3842588880 in words is "three billion, eight hundred forty-two million, five hundred eighty-eight thousand, eight hundred eighty".