4282207384 has 128 divisors (see below), whose sum is σ = 11014617600. Its totient is φ = 1510410240.

The previous prime is 4282207361. The next prime is 4282207429. The reversal of 4282207384 is 4837022824.

It is a happy number.

It is a super-3 number, since 3×4282207384³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226039 + ... + 244249.

It is an arithmetic number, because the mean of its divisors is an integer number (86051700).

Almost surely, 2^4282207384 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 4282207384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507308800).

4282207384 is an abundant number, since it is smaller than the sum of its proper divisors (6732410216).

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

4282207384 is a wasteful number, since it uses less digits than its factorization.

4282207384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 4282207384 is about 65438.5771850214. The cubic root of 4282207384 is about 1623.8873499235.

The spelling of 4282207384 in words is "four billion, two hundred eighty-two million, two hundred seven thousand, three hundred eighty-four".