3966624096 has 192 divisors, whose sum is σ = 11127029760. Its totient is φ = 1235243520.

The previous prime is 3966624073. The next prime is 3966624097. The reversal of 3966624096 is 6904266693.

3966624096 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966624097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17787441 + ... + 17787663.

It is an arithmetic number, because the mean of its divisors is an integer number (57953280).

Almost surely, 2^3966624096 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 3966624096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563514880).

3966624096 is an abundant number, since it is smaller than the sum of its proper divisors (7160405664).

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

3966624096 is a wasteful number, since it uses less digits than its factorization.

3966624096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The square root of 3966624096 is about 62981.1407962733. The cubic root of 3966624096 is about 1582.9736361958.

The spelling of 3966624096 in words is "three billion, nine hundred sixty-six million, six hundred twenty-four thousand, ninety-six".