3841032960 has 432 divisors, whose sum is σ = 14102079264. Its totient is φ = 1000636416.

The previous prime is 3841032941. The next prime is 3841032967. The reversal of 3841032960 is 692301483.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (3841032967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16485004 + ... + 16485236.

It is an arithmetic number, because the mean of its divisors is an integer number (32643702).

Almost surely, 2^3841032960 is an apocalyptic number.

3841032960 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 3841032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051039632).

3841032960 is an abundant number, since it is smaller than the sum of its proper divisors (10261046304).

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

3841032960 is an equidigital number, since it uses as much as digits as its factorization.

3841032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3841032960 is about 61976.0676390492. The cubic root of 3841032960 is about 1566.0874571318.

The spelling of 3841032960 in words is "three billion, eight hundred forty-one million, thirty-two thousand, nine hundred sixty".