3001832832 has 64 divisors (see below), whose sum is σ = 7992230400. Its totient is φ = 998275584.

The previous prime is 3001832807. The next prime is 3001832839. The reversal of 3001832832 is 2382381003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3001832832² = 18022000702546280448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3001832832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001832839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159673 + ... + 177479.

It is an arithmetic number, because the mean of its divisors is an integer number (124878600).

Almost surely, 2^3001832832 is an apocalyptic number.

3001832832 is a gapful number since it is divisible by the number (32) 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 3001832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996115200).

3001832832 is an abundant number, since it is smaller than the sum of its proper divisors (4990397568).

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

3001832832 is a wasteful number, since it uses less digits than its factorization.

3001832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18251 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3001832832 is about 54788.9845863199. The cubic root of 3001832832 is about 1442.5432217545.

The spelling of 3001832832 in words is "three billion, one million, eight hundred thirty-two thousand, eight hundred thirty-two".