3884727310464 has 768 divisors, whose sum is σ = 14089322016000. Its totient is φ = 922748682240.

The previous prime is 3884727310439. The next prime is 3884727310469. The reversal of 3884727310464 is 4640137274883.

It is a super-2 number, since 2×3884727310464² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3884727310469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460872202 + ... + 460880630.

It is an arithmetic number, because the mean of its divisors is an integer number (18345471375).

Almost surely, 2^{3884727310464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3884727310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044661008000).

3884727310464 is an abundant number, since it is smaller than the sum of its proper divisors (10204594705536).

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

3884727310464 is a wasteful number, since it uses less digits than its factorization.

3884727310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 3884727310464 in words is "three trillion, eight hundred eighty-four billion, seven hundred twenty-seven million, three hundred ten thousand, four hundred sixty-four".