3969829248 has 512 divisors, whose sum is σ = 13987676160. Its totient is φ = 967680000.

The previous prime is 3969829229. The next prime is 3969829249. The reversal of 3969829248 is 8429289693.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3969829191 and 3969829200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969829249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55913053 + ... + 55913123.

It is an arithmetic number, because the mean of its divisors is an integer number (27319680).

Almost surely, 2^3969829248 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 3969829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993838080).

3969829248 is an abundant number, since it is smaller than the sum of its proper divisors (10017846912).

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

3969829248 is a wasteful number, since it uses less digits than its factorization.

3969829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 3969829248 is about 63006.5809896077. The cubic root of 3969829248 is about 1583.3998849022.

The spelling of 3969829248 in words is "three billion, nine hundred sixty-nine million, eight hundred twenty-nine thousand, two hundred forty-eight".