3968634852 has 480 divisors, whose sum is σ = 13546579200. Its totient is φ = 1005903360.

The previous prime is 3968634809. The next prime is 3968634869. The reversal of 3968634852 is 2584368693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 59233323 + ... + 59233389.

It is an arithmetic number, because the mean of its divisors is an integer number (28222040).

Almost surely, 2^3968634852 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 3968634852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773289600).

3968634852 is an abundant number, since it is smaller than the sum of its proper divisors (9577944348).

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

3968634852 is a wasteful number, since it uses less digits than its factorization.

3968634852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3968634852 is about 62997.1019333429. The cubic root of 3968634852 is about 1583.2410706669.

The spelling of 3968634852 in words is "three billion, nine hundred sixty-eight million, six hundred thirty-four thousand, eight hundred fifty-two".