4225836384 has 288 divisors, whose sum is σ = 15501507840. Its totient is φ = 1059609600.

The previous prime is 4225836361. The next prime is 4225836403. The reversal of 4225836384 is 4836385224.

4225836384 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 8 + 3 + 638 + 4 = 666.

4225836384 is digitally balanced in base 2 and base 4, because in such bases 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 (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639819 + ... + 646389.

It is an arithmetic number, because the mean of its divisors is an integer number (53824680).

Almost surely, 2^4225836384 is an apocalyptic number.

4225836384 is a gapful number since it is divisible by the number (44) 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 4225836384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750753920).

4225836384 is an abundant number, since it is smaller than the sum of its proper divisors (11275671456).

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

4225836384 is a wasteful number, since it uses less digits than its factorization.

4225836384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6623 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4225836384 is about 65006.4334047023. The cubic root of 4225836384 is about 1616.7302315225.

The spelling of 4225836384 in words is "four billion, two hundred twenty-five million, eight hundred thirty-six thousand, three hundred eighty-four".