3922448352 has 288 divisors, whose sum is σ = 11729061792. Its totient is φ = 1142784000.

The previous prime is 3922448339. The next prime is 3922448353. The reversal of 3922448352 is 2538442293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922448353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64302402 + ... + 64302462.

It is an arithmetic number, because the mean of its divisors is an integer number (40725909).

Almost surely, 2^3922448352 is an apocalyptic number.

3922448352 is a gapful number since it is divisible by the number (32) 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 3922448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864530896).

3922448352 is an abundant number, since it is smaller than the sum of its proper divisors (7806613440).

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

3922448352 is a wasteful number, since it uses less digits than its factorization.

3922448352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 3922448352 is about 62629.4527518802. The cubic root of 3922448352 is about 1577.0752323076.

The spelling of 3922448352 in words is "three billion, nine hundred twenty-two million, four hundred forty-eight thousand, three hundred fifty-two".