4004341632 has 192 divisors, whose sum is σ = 11875921200. Its totient is φ = 1294368768.

The previous prime is 4004341591. The next prime is 4004341633. The reversal of 4004341632 is 2361434004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 4004341596 and 4004341605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004341633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11343568 + ... + 11343920.

Almost surely, 2^4004341632 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 4004341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937960600).

4004341632 is an abundant number, since it is smaller than the sum of its proper divisors (7871579568).

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

4004341632 is a wasteful number, since it uses less digits than its factorization.

4004341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4004341632 is about 63279.8675093430. The cubic root of 4004341632 is about 1587.9751702344.

Adding to 4004341632 its reverse (2361434004), we get a palindrome (6365775636).

The spelling of 4004341632 in words is "four billion, four million, three hundred forty-one thousand, six hundred thirty-two".