3968496016 has 15 divisors (see below), whose sum is σ = 7689449281. Its totient is φ = 1984122016.

The previous prime is 3968496001. The next prime is 3968496019. The reversal of 3968496016 is 6106948693.

The square root of 3968496016 is 62996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84713616 + 3883782400 = 9204^2 + 62320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3968496019) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 244110 + ... + 259858.

Almost surely, 2^3968496016 is an apocalyptic number.

3968496016 is the 62996-th square number.

It is an amenable number.

3968496016 is a deficient number, since it is larger than the sum of its proper divisors (3720953265).

3968496016 is an frugal number, since it uses more digits than its factorization.

3968496016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31506 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The cubic root of 3968496016 is about 1583.2226081117. Note that the first 3 decimals are identical.

The spelling of 3968496016 in words is "three billion, nine hundred sixty-eight million, four hundred ninety-six thousand, sixteen".