3825110144 has 64 divisors (see below), whose sum is σ = 7710832800. Its totient is φ = 1889986560.

The previous prime is 3825110123. The next prime is 3825110171. The reversal of 3825110144 is 4410115283.

3825110144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3825110144² = 29262935227463401472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5804087 + ... + 5804745.

Almost surely, 2^3825110144 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 3825110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855416400).

3825110144 is an abundant number, since it is smaller than the sum of its proper divisors (3885722656).

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

3825110144 is a wasteful number, since it uses less digits than its factorization.

3825110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 3825110144 is about 61847.4748393174. The cubic root of 3825110144 is about 1563.9204133554.

The spelling of 3825110144 in words is "three billion, eight hundred twenty-five million, one hundred ten thousand, one hundred forty-four".