3968313120 has 240 divisors, whose sum is σ = 14120967168. Its totient is φ = 1049448960.

The previous prime is 3968313103. The next prime is 3968313121. The reversal of 3968313120 is 213138693.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3968313121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644715 + ... + 1647125.

Almost surely, 2^3968313120 is an apocalyptic number.

3968313120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3968313120 is the 51435-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060483584).

3968313120 is an abundant number, since it is smaller than the sum of its proper divisors (10152654048).

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

3968313120 is a wasteful number, since it uses less digits than its factorization.

3968313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3968313120 is about 62994.5483355504. The cubic root of 3968313120 is about 1583.1982857547.

The spelling of 3968313120 in words is "three billion, nine hundred sixty-eight million, three hundred thirteen thousand, one hundred twenty".