3845315144 has 96 divisors (see below), whose sum is σ = 8253235200. Its totient is φ = 1676505600.

The previous prime is 3845315143. The next prime is 3845315161. The reversal of 3845315144 is 4415135483.

It is a junction number, because it is equal to n+sod(n) for n = 3845315098 and 3845315107.

It is not an unprimeable number, because it can be changed into a prime (3845315141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3810512 + ... + 3811520.

It is an arithmetic number, because the mean of its divisors is an integer number (85971200).

Almost surely, 2^3845315144 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 3845315144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126617600).

3845315144 is an abundant number, since it is smaller than the sum of its proper divisors (4407920056).

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

3845315144 is a wasteful number, since it uses less digits than its factorization.

3845315144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 3845315144 is about 62010.6050930000. The cubic root of 3845315144 is about 1566.6692263325.

The spelling of 3845315144 in words is "three billion, eight hundred forty-five million, three hundred fifteen thousand, one hundred forty-four".