3258009216 has 720 divisors, whose sum is σ = 12631234770. Its totient is φ = 830269440.

The previous prime is 3258009143. The next prime is 3258009233. The reversal of 3258009216 is 6129008523.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 768398400 = 49896^2 + 27720^2 .

It is a super-2 number, since 2×3258009216² = 21229248103081869312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61471846 + ... + 61471898.

Almost surely, 2^3258009216 is an apocalyptic number.

3258009216 is a gapful number since it is divisible by the number (36) 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 3258009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315617385).

3258009216 is an abundant number, since it is smaller than the sum of its proper divisors (9373225554).

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

3258009216 is a wasteful number, since it uses less digits than its factorization.

3258009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3258009216 is about 57078.9735016319. The cubic root of 3258009216 is about 1482.4638191573.

The spelling of 3258009216 in words is "three billion, two hundred fifty-eight million, nine thousand, two hundred sixteen".