3852400224 has 48 divisors (see below), whose sum is σ = 10116752688. Its totient is φ = 1283599872.

The previous prime is 3852400219. The next prime is 3852400267. The reversal of 3852400224 is 4220042583.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3852400191 and 3852400200.

It is a congruent number.

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, 273154 + ... + 286910.

It is an arithmetic number, because the mean of its divisors is an integer number (210765681).

Almost surely, 2^3852400224 is an apocalyptic number.

It is an amenable number.

3852400224 is an abundant number, since it is smaller than the sum of its proper divisors (6264352464).

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

3852400224 is a wasteful number, since it uses less digits than its factorization.

3852400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3852400224 is about 62067.7067725238. The cubic root of 3852400224 is about 1567.6308437845.

The spelling of 3852400224 in words is "three billion, eight hundred fifty-two million, four hundred thousand, two hundred twenty-four".