3966877512 has 288 divisors, whose sum is σ = 12497172480. Its totient is φ = 1132185600.

The previous prime is 3966877507. The next prime is 3966877517. The reversal of 3966877512 is 2157786693.

It is an interprime number because it is at equal distance from previous prime (3966877507) and next prime (3966877517).

It is a super-2 number, since 2×3966877512² = 31472234390422620288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3966877517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26270637 + ... + 26270787.

It is an arithmetic number, because the mean of its divisors is an integer number (43392960).

Almost surely, 2^3966877512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966877512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248586240).

3966877512 is an abundant number, since it is smaller than the sum of its proper divisors (8530294968).

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

3966877512 is a wasteful number, since it uses less digits than its factorization.

3966877512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 3966877512 is about 62983.1526044862. The cubic root of 3966877512 is about 1583.0073459949.

The spelling of 3966877512 in words is "three billion, nine hundred sixty-six million, eight hundred seventy-seven thousand, five hundred twelve".