3854561280 has 208 divisors, whose sum is σ = 12628556160. Its totient is φ = 1003290624.

The previous prime is 3854561233. The next prime is 3854561299. The reversal of 3854561280 is 821654583.

3854561280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3854561280² = 29715285322550476800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641191 + ... + 2642649.

Almost surely, 2^3854561280 is an apocalyptic number.

3854561280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3854561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314278080).

3854561280 is an abundant number, since it is smaller than the sum of its proper divisors (8773994880).

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

3854561280 is a wasteful number, since it uses less digits than its factorization.

3854561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 3854561280 is about 62085.1131914890. The cubic root of 3854561280 is about 1567.9239168970.

The spelling of 3854561280 in words is "three billion, eight hundred fifty-four million, five hundred sixty-one thousand, two hundred eighty".