3891868960 has 192 divisors, whose sum is σ = 10921236480. Its totient is φ = 1282498560.

The previous prime is 3891868943. The next prime is 3891868961. The reversal of 3891868960 is 698681983.

It is a super-2 number, since 2×3891868960² = 30293288003622963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3891868895 and 3891868904.

It is not an unprimeable number, because it can be changed into a prime (3891868961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6839556 + ... + 6840124.

It is an arithmetic number, because the mean of its divisors is an integer number (56881440).

Almost surely, 2^3891868960 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 3891868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460618240).

3891868960 is an abundant number, since it is smaller than the sum of its proper divisors (7029367520).

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

3891868960 is a wasteful number, since it uses less digits than its factorization.

3891868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The square root of 3891868960 is about 62384.8455957054. The cubic root of 3891868960 is about 1572.9662450740.

The spelling of 3891868960 in words is "three billion, eight hundred ninety-one million, eight hundred sixty-eight thousand, nine hundred sixty".