3845574144 has 140 divisors (see below), whose sum is σ = 11521304256. Its totient is φ = 1281733632.

The previous prime is 3845574137. The next prime is 3845574163. The reversal of 3845574144 is 4414755483.

3845574144 is a `hidden beast` number, since 3 + 84 + 557 + 4 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3845574144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 368097 + ... + 378399.

Almost surely, 2^3845574144 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 3845574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760652128).

3845574144 is an abundant number, since it is smaller than the sum of its proper divisors (7675730112).

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

3845574144 is an frugal number, since it uses more digits than its factorization.

3845574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10308 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 3845574144 is about 62012.6934103011. The cubic root of 3845574144 is about 1566.7043997149.

The spelling of 3845574144 in words is "three billion, eight hundred forty-five million, five hundred seventy-four thousand, one hundred forty-four".