3968853120 has 384 divisors, whose sum is σ = 14585184000. Its totient is φ = 1019934720.

The previous prime is 3968853107. The next prime is 3968853121. The reversal of 3968853120 is 213588693.

It is a happy number.

3968853120 is a `hidden beast` number, since 3 + 96 + 8 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968853121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16605961 + ... + 16606199.

It is an arithmetic number, because the mean of its divisors is an integer number (37982250).

Almost surely, 2^3968853120 is an apocalyptic number.

3968853120 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 3968853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292592000).

3968853120 is an abundant number, since it is smaller than the sum of its proper divisors (10616330880).

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

3968853120 is a wasteful number, since it uses less digits than its factorization.

3968853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3968853120 is about 62998.8342749292. The cubic root of 3968853120 is about 1583.2700953013.

The spelling of 3968853120 in words is "three billion, nine hundred sixty-eight million, eight hundred fifty-three thousand, one hundred twenty".