3929481216 has 168 divisors, whose sum is σ = 11449751040. Its totient is φ = 1298497536.

The previous prime is 3929481187. The next prime is 3929481217. The reversal of 3929481216 is 6121849293.

3929481216 is a `hidden beast` number, since 392 + 9 + 48 + 1 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929481217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16441225 + ... + 16441463.

It is an arithmetic number, because the mean of its divisors is an integer number (68153280).

Almost surely, 2^3929481216 is an apocalyptic number.

3929481216 is a gapful number since it is divisible by the number (36) 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 3929481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724875520).

3929481216 is an abundant number, since it is smaller than the sum of its proper divisors (7520269824).

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

3929481216 is a wasteful number, since it uses less digits than its factorization.

3929481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3929481216 is about 62685.5742256542. The cubic root of 3929481216 is about 1578.0172233274.

The spelling of 3929481216 in words is "three billion, nine hundred twenty-nine million, four hundred eighty-one thousand, two hundred sixteen".