3966353664 has 576 divisors, whose sum is σ = 14285107200. Its totient is φ = 947552256.

The previous prime is 3966353609. The next prime is 3966353681. The reversal of 3966353664 is 4663536693.

It is a happy number.

It is a super-2 number, since 2×3966353664² = 31463922775852449792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38508237 + ... + 38508339.

Almost surely, 2^3966353664 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 3966353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142553600).

3966353664 is an abundant number, since it is smaller than the sum of its proper divisors (10318753536).

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

3966353664 is a wasteful number, since it uses less digits than its factorization.

3966353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 51.

The square root of 3966353664 is about 62978.9938312768. The cubic root of 3966353664 is about 1582.9376613177.

The spelling of 3966353664 in words is "three billion, nine hundred sixty-six million, three hundred fifty-three thousand, six hundred sixty-four".