3841009320960 has 616 divisors, whose sum is σ = 15788178501696. Its totient is φ = 877939015680.

The previous prime is 3841009320881. The next prime is 3841009320979. The reversal of 3841009320960 is 690239001483.

It is a happy number.

3841009320960 is a `hidden beast` number, since 384 + 1 + 0 + 0 + 9 + 3 + 209 + 60 = 666.

3841009320960 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 55 ways as a sum of consecutive naturals, for example, 26053855 + ... + 26200865.

Almost surely, 2^{3841009320960} is an apocalyptic number.

3841009320960 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 3841009320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894089250848).

3841009320960 is an abundant number, since it is smaller than the sum of its proper divisors (11947169180736).

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

3841009320960 is an equidigital number, since it uses as much as digits as its factorization.

3841009320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147061 (or 147028 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3841009320960 in words is "three trillion, eight hundred forty-one billion, nine million, three hundred twenty thousand, nine hundred sixty".