3260478816 has 432 divisors, whose sum is σ = 11562445440. Its totient is φ = 867041280.

The previous prime is 3260478799. The next prime is 3260478829. The reversal of 3260478816 is 6188740623.

3260478816 is a `hidden beast` number, since 32 + 604 + 7 + 8 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12686560 + ... + 12686816.

It is an arithmetic number, because the mean of its divisors is an integer number (26764920).

Almost surely, 2^3260478816 is an apocalyptic number.

3260478816 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 3260478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781222720).

3260478816 is an abundant number, since it is smaller than the sum of its proper divisors (8301966624).

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

3260478816 is a wasteful number, since it uses less digits than its factorization.

3260478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3260478816 is about 57100.6025887643. The cubic root of 3260478816 is about 1482.8382981461.

The spelling of 3260478816 in words is "three billion, two hundred sixty million, four hundred seventy-eight thousand, eight hundred sixteen".