3005361632 has 96 divisors (see below), whose sum is σ = 7665638400. Its totient is φ = 1126338048.

The previous prime is 3005361617. The next prime is 3005361659. The reversal of 3005361632 is 2361635003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3005361595 and 3005361604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28169 + ... + 82487.

It is an arithmetic number, because the mean of its divisors is an integer number (79850400).

Almost surely, 2^3005361632 is an apocalyptic number.

3005361632 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 3005361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832819200).

3005361632 is an abundant number, since it is smaller than the sum of its proper divisors (4660276768).

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

3005361632 is a wasteful number, since it uses less digits than its factorization.

3005361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54368 (or 54360 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 3005361632 is about 54821.1786812360. The cubic root of 3005361632 is about 1443.1082602291.

Adding to 3005361632 its reverse (2361635003), we get a palindrome (5366996635).

The spelling of 3005361632 in words is "three billion, five million, three hundred sixty-one thousand, six hundred thirty-two".