3232582080 has 224 divisors, whose sum is σ = 12632277504. Its totient is φ = 682020864.

The previous prime is 3232582057. The next prime is 3232582109. The reversal of 3232582080 is 802852323.

It is a tau number, because it is divible by the number of its divisors (224).

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, 68859 + ... + 105861.

It is an arithmetic number, because the mean of its divisors is an integer number (56394096).

Almost surely, 2^3232582080 is an apocalyptic number.

3232582080 is a gapful number since it is divisible by the number (30) 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 3232582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316138752).

3232582080 is an abundant number, since it is smaller than the sum of its proper divisors (9399695424).

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

3232582080 is a wasteful number, since it uses less digits than its factorization.

3232582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37043 (or 37033 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3232582080 is about 56855.8007594652. The cubic root of 3232582080 is about 1478.5971123119.

The spelling of 3232582080 in words is "three billion, two hundred thirty-two million, five hundred eighty-two thousand, eighty".