3968027820 has 36 divisors (see below), whose sum is σ = 12036351600. Its totient is φ = 1058140704.

The previous prime is 3968027761. The next prime is 3968027839. The reversal of 3968027820 is 287208693.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11022120 + ... + 11022479.

It is an arithmetic number, because the mean of its divisors is an integer number (334343100).

Almost surely, 2^3968027820 is an apocalyptic number.

3968027820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968027820 is an abundant number, since it is smaller than the sum of its proper divisors (8068323780).

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

3968027820 is a wasteful number, since it uses less digits than its factorization.

3968027820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044614 (or 22044609 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3968027820 is about 62992.2838131783. The cubic root of 3968027820 is about 1583.1603437474.

The spelling of 3968027820 in words is "three billion, nine hundred sixty-eight million, twenty-seven thousand, eight hundred twenty".