3966423552 has 400 divisors, whose sum is σ = 14584608192. Its totient is φ = 1045094400.

The previous prime is 3966423533. The next prime is 3966423607. The reversal of 3966423552 is 2553246693.

3966423552 is a `hidden beast` number, since 3 + 96 + 6 + 4 + 2 + 3 + 552 = 666.

It is a super-3 number, since 3×3966423552³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3966423498 and 3966423507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3773427 + ... + 3774477.

Almost surely, 2^3966423552 is an apocalyptic number.

3966423552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292304096).

3966423552 is an abundant number, since it is smaller than the sum of its proper divisors (10618184640).

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

3966423552 is a wasteful number, since it uses less digits than its factorization.

3966423552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1076 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 3966423552 is about 62979.5486805042. The cubic root of 3966423552 is about 1582.9469584965.

The spelling of 3966423552 in words is "three billion, nine hundred sixty-six million, four hundred twenty-three thousand, five hundred fifty-two".