3922116000 has 384 divisors, whose sum is σ = 14363661312. Its totient is φ = 927360000.

The previous prime is 3922115999. The next prime is 3922116007. The reversal of 3922116000 is 6112293.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3922116007) 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 63 ways as a sum of consecutive naturals, for example, 5675655 + ... + 5676345.

It is an arithmetic number, because the mean of its divisors is an integer number (37405368).

Almost surely, 2^3922116000 is an apocalyptic number.

3922116000 is a gapful number since it is divisible by the number (30) 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 3922116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181830656).

3922116000 is an abundant number, since it is smaller than the sum of its proper divisors (10441545312).

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

3922116000 is a wasteful number, since it uses less digits than its factorization.

3922116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3922116000 is about 62626.7993753473. The cubic root of 3922116000 is about 1577.0306887925.

Adding to 3922116000 its reverse (6112293), we get a palindrome (3928228293).

The spelling of 3922116000 in words is "three billion, nine hundred twenty-two million, one hundred sixteen thousand".