4032082896 has 160 divisors (see below), whose sum is σ = 11159285760. Its totient is φ = 1251773952.

The previous prime is 4032082871. The next prime is 4032082909. The reversal of 4032082896 is 6982802304.

It is a super-3 number, since 3×4032082896³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7238650 + ... + 7239206.

It is an arithmetic number, because the mean of its divisors is an integer number (69745536).

Almost surely, 2^4032082896 is an apocalyptic number.

4032082896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032082896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579642880).

4032082896 is an abundant number, since it is smaller than the sum of its proper divisors (7127202864).

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

4032082896 is a wasteful number, since it uses less digits than its factorization.

4032082896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4032082896 is about 63498.6842068401. The cubic root of 4032082896 is about 1591.6337907533.

The spelling of 4032082896 in words is "four billion, thirty-two million, eighty-two thousand, eight hundred ninety-six".