3259216640 has 144 divisors (see below), whose sum is σ = 8035372800. Its totient is φ = 1266118656.

The previous prime is 3259216607. The next prime is 3259216657. The reversal of 3259216640 is 466129523.

It is a junction number, because it is equal to n+sod(n) for n = 3259216594 and 3259216603.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7778351 + ... + 7778769.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^3259216640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3259216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017686400).

3259216640 is an abundant number, since it is smaller than the sum of its proper divisors (4776156160).

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

3259216640 is a wasteful number, since it uses less digits than its factorization.

3259216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 3259216640 is about 57089.5493063310. The cubic root of 3259216640 is about 1482.6469311131.

The spelling of 3259216640 in words is "three billion, two hundred fifty-nine million, two hundred sixteen thousand, six hundred forty".