3856553424 has 160 divisors (see below), whose sum is σ = 11686454400. Its totient is φ = 1214300160.

The previous prime is 3856553423. The next prime is 3856553509. The reversal of 3856553424 is 4243556583.

3856553424 is a `hidden beast` number, since 3 + 8 + 56 + 553 + 42 + 4 = 666.

It is a super-2 number, since 2×3856553424² = 29746008624332247552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3856553424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856553423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5260962 + ... + 5261694.

It is an arithmetic number, because the mean of its divisors is an integer number (73040340).

Almost surely, 2^3856553424 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 3856553424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843227200).

3856553424 is an abundant number, since it is smaller than the sum of its proper divisors (7829900976).

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

3856553424 is a wasteful number, since it uses less digits than its factorization.

3856553424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1398 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 3856553424 is about 62101.1547718720. The cubic root of 3856553424 is about 1568.1939858743.

The spelling of 3856553424 in words is "three billion, eight hundred fifty-six million, five hundred fifty-three thousand, four hundred twenty-four".