3841572096 has 180 divisors, whose sum is σ = 11519115300. Its totient is φ = 1273356288.

The previous prime is 3841572071. The next prime is 3841572131. The reversal of 3841572096 is 6902751483.

3841572096 is a `hidden beast` number, since 38 + 41 + 572 + 0 + 9 + 6 = 666.

3841572096 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3485721600 + 355850496 = 59040^2 + 18864^2 .

3841572096 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4748140 + ... + 4748948.

It is an arithmetic number, because the mean of its divisors is an integer number (63995085).

It is a 1-persistent number, because it is pandigital, but 2⋅3841572096 = 7683144192 is not.

Almost surely, 2^3841572096 is an apocalyptic number.

3841572096 is a gapful number since it is divisible by the number (36) 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 3841572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759557650).

3841572096 is an abundant number, since it is smaller than the sum of its proper divisors (7677543204).

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

3841572096 is an equidigital number, since it uses as much as digits as its factorization.

3841572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3841572096 is about 61980.4170363511. The cubic root of 3841572096 is about 1566.1607268863.

The spelling of 3841572096 in words is "three billion, eight hundred forty-one million, five hundred seventy-two thousand, ninety-six".