3968370880 has 112 divisors (see below), whose sum is σ = 9615281760. Its totient is φ = 1559789568.

The previous prime is 3968370871. The next prime is 3968370899. The reversal of 3968370880 is 880738693.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5369551 + ... + 5370289.

It is an arithmetic number, because the mean of its divisors is an integer number (85850730).

Almost surely, 2^3968370880 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 3968370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807640880).

3968370880 is an abundant number, since it is smaller than the sum of its proper divisors (5646910880).

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

3968370880 is a wasteful number, since it uses less digits than its factorization.

3968370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 3968370880 is about 62995.0067862525. The cubic root of 3968370880 is about 1583.2059670277.

The spelling of 3968370880 in words is "three billion, nine hundred sixty-eight million, three hundred seventy thousand, eight hundred eighty".