3968048735 has 32 divisors (see below), whose sum is σ = 5564682240. Its totient is φ = 2660231808.

The previous prime is 3968048681. The next prime is 3968048737. The reversal of 3968048735 is 5378408693.

It is a cyclic number.

It is not a de Polignac number, because 3968048735 - 2¹⁰ = 3968047711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968048737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277829 + ... + 291761.

It is an arithmetic number, because the mean of its divisors is an integer number (173896320).

Almost surely, 2^3968048735 is an apocalyptic number.

3968048735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3968048735 is a deficient number, since it is larger than the sum of its proper divisors (1596633505).

3968048735 is a wasteful number, since it uses less digits than its factorization.

3968048735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14127.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The square root of 3968048735 is about 62992.4498253561. The cubic root of 3968048735 is about 1583.1631252921.

The spelling of 3968048735 in words is "three billion, nine hundred sixty-eight million, forty-eight thousand, seven hundred thirty-five".