3967740100 has 27 divisors (see below), whose sum is σ = 8611363117. Its totient is φ = 1586844080.

The previous prime is 3967740083. The next prime is 3967740137. The reversal of 3967740100 is 10477693.

The square root of 3967740100 is 62990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1428386436 + 2539353664 = 37794^2 + 50392^2 .

It is a super-2 number, since 2×3967740100² = 31485923002296020000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3967740100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 626751 + ... + 633049.

Almost surely, 2^3967740100 is an apocalyptic number.

3967740100 is the 62990-th square number.

It is an amenable number.

3967740100 is an abundant number, since it is smaller than the sum of its proper divisors (4643623017).

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

3967740100 is an frugal number, since it uses more digits than its factorization.

3967740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12612 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The cubic root of 3967740100 is about 1583.1220780627.

The spelling of 3967740100 in words is "three billion, nine hundred sixty-seven million, seven hundred forty thousand, one hundred".