3845315584 has 88 divisors (see below), whose sum is σ = 8418868848. Its totient is φ = 1740963840.

The previous prime is 3845315569. The next prime is 3845315611. The reversal of 3845315584 is 4855135483.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×3845315584² = 29572903881106522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3795462 + ... + 3796474.

Almost surely, 2^3845315584 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 3845315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209434424).

3845315584 is an abundant number, since it is smaller than the sum of its proper divisors (4573553264).

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

3845315584 is a wasteful number, since it uses less digits than its factorization.

3845315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The square root of 3845315584 is about 62010.6086407802. The cubic root of 3845315584 is about 1566.6692860879.

The spelling of 3845315584 in words is "three billion, eight hundred forty-five million, three hundred fifteen thousand, five hundred eighty-four".