3834017952 has 96 divisors (see below), whose sum is σ = 10154761344. Its totient is φ = 1266585600.

The previous prime is 3834017899. The next prime is 3834017977. The reversal of 3834017952 is 2597104383.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8389308 + ... + 8389764.

It is an arithmetic number, because the mean of its divisors is an integer number (105778764).

Almost surely, 2^3834017952 is an apocalyptic number.

3834017952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3834017952 is an abundant number, since it is smaller than the sum of its proper divisors (6320743392).

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

3834017952 is a wasteful number, since it uses less digits than its factorization.

3834017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3834017952 is about 61919.4472843549. The cubic root of 3834017952 is about 1565.1334766918.

The spelling of 3834017952 in words is "three billion, eight hundred thirty-four million, seventeen thousand, nine hundred fifty-two".