3841564853280 has 1152 divisors, whose sum is σ = 15901320314880. Its totient is φ = 770079744000.

The previous prime is 3841564853267. The next prime is 3841564853309. The reversal of 3841564853280 is 823584651483.

It is a self number, because there is not a number n which added to its sum of digits gives 3841564853280.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3697367001 + ... + 3697368039.

It is an arithmetic number, because the mean of its divisors is an integer number (13803229440).

Almost surely, 2^{3841564853280} is an apocalyptic number.

3841564853280 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 3841564853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950660157440).

3841564853280 is an abundant number, since it is smaller than the sum of its proper divisors (12059755461600).

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

3841564853280 is a wasteful number, since it uses less digits than its factorization.

3841564853280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 3841564853280 in words is "three trillion, eight hundred forty-one billion, five hundred sixty-four million, eight hundred fifty-three thousand, two hundred eighty".