3968089680 has 160 divisors (see below), whose sum is σ = 13302434304. Its totient is φ = 974675968.

The previous prime is 3968089649. The next prime is 3968089681. The reversal of 3968089680 is 869808693.

It is a self number, because there is not a number n which added to its sum of digits gives 3968089680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968089681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181414 + ... + 202106.

Almost surely, 2^3968089680 is an apocalyptic number.

3968089680 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 3968089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651217152).

3968089680 is an abundant number, since it is smaller than the sum of its proper divisors (9334344624).

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

3968089680 is a wasteful number, since it uses less digits than its factorization.

3968089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20773 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 3968089680 is about 62992.7748237844. The cubic root of 3968089680 is about 1583.1685706546.

The spelling of 3968089680 in words is "three billion, nine hundred sixty-eight million, eighty-nine thousand, six hundred eighty".