3922345600 has 96 divisors (see below), whose sum is σ = 9727323840. Its totient is φ = 1562803200.

The previous prime is 3922345591. The next prime is 3922345607. The reversal of 3922345600 is 65432293.

It is not an unprimeable number, because it can be changed into a prime (3922345607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864939 + ... + 869461.

It is an arithmetic number, because the mean of its divisors is an integer number (101326290).

Almost surely, 2^3922345600 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 3922345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863661920).

3922345600 is an abundant number, since it is smaller than the sum of its proper divisors (5804978240).

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

3922345600 is a wasteful number, since it uses less digits than its factorization.

3922345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 3922345600 is about 62628.6324295845. The cubic root of 3922345600 is about 1577.0614612277.

Adding to 3922345600 its reverse (65432293), we get a palindrome (3987777893).

The spelling of 3922345600 in words is "three billion, nine hundred twenty-two million, three hundred forty-five thousand, six hundred".