3844532160 has 504 divisors, whose sum is σ = 15968075760. Its totient is φ = 877879296.

The previous prime is 3844532147. The next prime is 3844532171. The reversal of 3844532160 is 612354483.

3844532160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809736 + ... + 3810744.

It is an arithmetic number, because the mean of its divisors is an integer number (31682690).

Almost surely, 2^3844532160 is an apocalyptic number.

3844532160 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 3844532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984037880).

3844532160 is an abundant number, since it is smaller than the sum of its proper divisors (12123543600).

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

3844532160 is a wasteful number, since it uses less digits than its factorization.

3844532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3844532160 is about 62004.2914643817. The cubic root of 3844532160 is about 1566.5628839254.

The spelling of 3844532160 in words is "three billion, eight hundred forty-four million, five hundred thirty-two thousand, one hundred sixty".