3968766100 has 36 divisors (see below), whose sum is σ = 9274704124. Its totient is φ = 1465390080.

The previous prime is 3968766091. The next prime is 3968766121. The reversal of 3968766100 is 16678693.

It can be written as a sum of positive squares in 6 ways, for example, as 70761744 + 3898004356 = 8412^2 + 62434^2 .

It is a super-2 number, since 2×3968766100² = 31502208713018420000, which contains 22 as substring.

It is a congruent number.

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, 1525149 + ... + 1527748.

Almost surely, 2^3968766100 is an apocalyptic number.

It is an amenable number.

3968766100 is an abundant number, since it is smaller than the sum of its proper divisors (5305938024).

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

3968766100 is a wasteful number, since it uses less digits than its factorization.

3968766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052924 (or 3052917 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 3968766100 is about 62998.1436234434. The cubic root of 3968766100 is about 1583.2585237662.

The spelling of 3968766100 in words is "three billion, nine hundred sixty-eight million, seven hundred sixty-six thousand, one hundred".