32441004 has 72 divisors (see below), whose sum is σ = 86835840. Its totient is φ = 10195200.

The previous prime is 32440987. The next prime is 32441011. The reversal of 32441004 is 40014423.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 45402 + ... + 46110.

Almost surely, 2^32441004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32441004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43417920).

32441004 is an abundant number, since it is smaller than the sum of its proper divisors (54394836).

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

32441004 is a wasteful number, since it uses less digits than its factorization.

32441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32441004 is about 5695.7004836982. The cubic root of 32441004 is about 318.9319994073.

Adding to 32441004 its reverse (40014423), we get a palindrome (72455427).

It can be divided in two parts, 324 and 41004, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 32441004 in words is "thirty-two million, four hundred forty-one thousand, four".