3332004032 has 56 divisors (see below), whose sum is σ = 7565965056. Its totient is φ = 1426215168.

The previous prime is 3332004019. The next prime is 3332004059. The reversal of 3332004032 is 2304002333.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3332004032² = 22204501738528514048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332003995 and 3332004013.

It is an unprimeable number.

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, 391373 + ... + 399795.

Almost surely, 2^3332004032 is an apocalyptic number.

3332004032 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 3332004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782982528).

3332004032 is an abundant number, since it is smaller than the sum of its proper divisors (4233961024).

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

3332004032 is an equidigital number, since it uses as much as digits as its factorization.

3332004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3332004032 is about 57723.5136837667. The cubic root of 3332004032 is about 1493.6029845403.

Adding to 3332004032 its reverse (2304002333), we get a palindrome (5636006365).

The spelling of 3332004032 in words is "three billion, three hundred thirty-two million, four thousand, thirty-two".