4034086875 has 320 divisors, whose sum is σ = 9572935680. Its totient is φ = 1632960000.

The previous prime is 4034086871. The next prime is 4034086877. The reversal of 4034086875 is 5786804304.

It is not a de Polignac number, because 4034086875 - 2² = 4034086871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4034086875.

It is not an unprimeable number, because it can be changed into a prime (4034086871) 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 319 ways as a sum of consecutive naturals, for example, 56818090 + ... + 56818160.

It is an arithmetic number, because the mean of its divisors is an integer number (29915424).

Almost surely, 2^4034086875 is an apocalyptic number.

4034086875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4034086875 is an abundant number, since it is smaller than the sum of its proper divisors (5538848805).

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

4034086875 is a wasteful number, since it uses less digits than its factorization.

4034086875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4034086875 is about 63514.4619358458. The cubic root of 4034086875 is about 1591.8974321930.

The spelling of 4034086875 in words is "four billion, thirty-four million, eighty-six thousand, eight hundred seventy-five".