3968496015 has 128 divisors (see below), whose sum is σ = 7510745088. Its totient is φ = 1769940480.

The previous prime is 3968496001. The next prime is 3968496019. The reversal of 3968496015 is 5106948693.

It is a Cunningham number, because it is equal to 62996²-1.

It is not a de Polignac number, because 3968496015 - 2⁷ = 3968495887 is a prime.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13544209 + ... + 13544501.

It is an arithmetic number, because the mean of its divisors is an integer number (58677696).

Almost surely, 2^3968496015 is an apocalyptic number.

3968496015 is a deficient number, since it is larger than the sum of its proper divisors (3542249073).

3968496015 is a wasteful number, since it uses less digits than its factorization.

3968496015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 3968496015 is about 62995.9999920630. Note that the first 5 decimals coincide. The cubic root of 3968496015 is about 1583.2226079787. Note that the first 3 decimals are identical.

The spelling of 3968496015 in words is "three billion, nine hundred sixty-eight million, four hundred ninety-six thousand, fifteen".