3238605480 has 256 divisors, whose sum is σ = 11249280000. Its totient is φ = 737648640.

The previous prime is 3238605467. The next prime is 3238605481. The reversal of 3238605480 is 845068323.

It is not an unprimeable number, because it can be changed into a prime (3238605481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485656 + ... + 3486584.

It is an arithmetic number, because the mean of its divisors is an integer number (43942500).

Almost surely, 2^3238605480 is an apocalyptic number.

3238605480 is a gapful number since it is divisible by the number (30) 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 3238605480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

3238605480 is an abundant number, since it is smaller than the sum of its proper divisors (8010674520).

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

3238605480 is a wasteful number, since it uses less digits than its factorization.

3238605480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3238605480 is about 56908.7469551035. The cubic root of 3238605480 is about 1479.5149189442.

The spelling of 3238605480 in words is "three billion, two hundred thirty-eight million, six hundred five thousand, four hundred eighty".