3968783820 has 36 divisors (see below), whose sum is σ = 12038644800. Its totient is φ = 1058342304.

The previous prime is 3968783813. The next prime is 3968783827. The reversal of 3968783820 is 283878693.

It is an interprime number because it is at equal distance from previous prime (3968783813) and next prime (3968783827).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3968783827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11024220 + ... + 11024579.

It is an arithmetic number, because the mean of its divisors is an integer number (334406800).

Almost surely, 2^3968783820 is an apocalyptic number.

3968783820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968783820 is an abundant number, since it is smaller than the sum of its proper divisors (8069860980).

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

3968783820 is a wasteful number, since it uses less digits than its factorization.

3968783820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22048814 (or 22048809 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3968783820 is about 62998.2842623511. The cubic root of 3968783820 is about 1583.2608801072.

The spelling of 3968783820 in words is "three billion, nine hundred sixty-eight million, seven hundred eighty-three thousand, eight hundred twenty".