3966142320 has 300 divisors, whose sum is σ = 16025262264. Its totient is φ = 906474240.

The previous prime is 3966142277. The next prime is 3966142337. The reversal of 3966142320 is 232416693.

3966142320 is a `hidden beast` number, since 3 + 9 + 6 + 614 + 2 + 32 + 0 = 666.

3966142320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311275 + ... + 323765.

Almost surely, 2^3966142320 is an apocalyptic number.

3966142320 is a gapful number since it is divisible by the number (30) 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 3966142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012631132).

3966142320 is an abundant number, since it is smaller than the sum of its proper divisors (12059119944).

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

3966142320 is a wasteful number, since it uses less digits than its factorization.

3966142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3966142320 is about 62977.3159161297. The cubic root of 3966142320 is about 1582.9095456269.

The spelling of 3966142320 in words is "three billion, nine hundred sixty-six million, one hundred forty-two thousand, three hundred twenty".