3085441632 has 480 divisors, whose sum is σ = 11365466112. Its totient is φ = 799497216.

The previous prime is 3085441591. The next prime is 3085441637. The reversal of 3085441632 is 2361445803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085441637) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24294753 + ... + 24294879.

Almost surely, 2^3085441632 is an apocalyptic number.

3085441632 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 3085441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682733056).

3085441632 is an abundant number, since it is smaller than the sum of its proper divisors (8280024480).

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

3085441632 is a wasteful number, since it uses less digits than its factorization.

3085441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3085441632 is about 55546.7517682177. The cubic root of 3085441632 is about 1455.8136208317.

The spelling of 3085441632 in words is "three billion, eighty-five million, four hundred forty-one thousand, six hundred thirty-two".