4220348832 has 480 divisors, whose sum is σ = 14928883200. Its totient is φ = 1168473600.

The previous prime is 4220348789. The next prime is 4220348833. The reversal of 4220348832 is 2388430224.

It is a happy number.

It is a super-2 number, since 2×4220348832² = 35622688527527528448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4220348833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41785582 + ... + 41785682.

It is an arithmetic number, because the mean of its divisors is an integer number (31101840).

Almost surely, 2^4220348832 is an apocalyptic number.

4220348832 is a gapful number since it is divisible by the number (42) 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 4220348832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464441600).

4220348832 is an abundant number, since it is smaller than the sum of its proper divisors (10708534368).

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

4220348832 is a wasteful number, since it uses less digits than its factorization.

4220348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4220348832 is about 64964.2119324171. The cubic root of 4220348832 is about 1616.0301149503.

The spelling of 4220348832 in words is "four billion, two hundred twenty million, three hundred forty-eight thousand, eight hundred thirty-two".