3482085888 has 80 divisors (see below), whose sum is σ = 10307256960. Its totient is φ = 1160690688.

The previous prime is 3482085869. The next prime is 3482085889. The reversal of 3482085888 is 8885802843.

3482085888 is a `hidden beast` number, since 3 + 482 + 0 + 85 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3482085889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112120 + ... + 139767.

It is an arithmetic number, because the mean of its divisors is an integer number (128840712).

Almost surely, 2^3482085888 is an apocalyptic number.

It is an amenable number.

3482085888 is an abundant number, since it is smaller than the sum of its proper divisors (6825171072).

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

3482085888 is an equidigital number, since it uses as much as digits as its factorization.

3482085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251914 (or 251892 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The square root of 3482085888 is about 59009.2017231211. The cubic root of 3482085888 is about 1515.6996826928.

The spelling of 3482085888 in words is "three billion, four hundred eighty-two million, eighty-five thousand, eight hundred eighty-eight".