3258108480 has 224 divisors, whose sum is σ = 11949379200. Its totient is φ = 743342080.

The previous prime is 3258108473. The next prime is 3258108487. The reversal of 3258108480 is 848018523.

It is an interprime number because it is at equal distance from previous prime (3258108473) and next prime (3258108487).

It is not an unprimeable number, because it can be changed into a prime (3258108487) 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 31 ways as a sum of consecutive naturals, for example, 170446 + ... + 188594.

Almost surely, 2^3258108480 is an apocalyptic number.

3258108480 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 3258108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974689600).

3258108480 is an abundant number, since it is smaller than the sum of its proper divisors (8691270720).

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

3258108480 is a wasteful number, since it uses less digits than its factorization.

3258108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 3258108480 is about 57079.8430271142. The cubic root of 3258108480 is about 1482.4788747515.

The spelling of 3258108480 in words is "three billion, two hundred fifty-eight million, one hundred eight thousand, four hundred eighty".