3949116963 has 32 divisors (see below), whose sum is σ = 5972693760. Its totient is φ = 2299032960.

The previous prime is 3949116953. The next prime is 3949116971. The reversal of 3949116963 is 3696119493.

3949116963 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 62842²-1.

It is not a de Polignac number, because 3949116963 - 2¹³ = 3949108771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3949116953) 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, 178056 + ... + 199002.

It is an arithmetic number, because the mean of its divisors is an integer number (186646680).

Almost surely, 2^3949116963 is an apocalyptic number.

3949116963 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3949116963 is a deficient number, since it is larger than the sum of its proper divisors (2023576797).

3949116963 is a wasteful number, since it uses less digits than its factorization.

3949116963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21187.

The product of its digits is 944784, while the sum is 51.

The square root of 3949116963 is about 62841.9999920435. Note that the first 5 decimals coincide. The cubic root of 3949116963 is about 1580.6413252661.

The spelling of 3949116963 in words is "three billion, nine hundred forty-nine million, one hundred sixteen thousand, nine hundred sixty-three".