3268863360 has 768 divisors, whose sum is σ = 14435366400. Its totient is φ = 663552000.

The previous prime is 3268863349. The next prime is 3268863407. The reversal of 3268863360 is 633688623.

3268863360 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 8 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13023235 + ... + 13023485.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^3268863360 is an apocalyptic number.

3268863360 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 3268863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

3268863360 is an abundant number, since it is smaller than the sum of its proper divisors (11166503040).

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

3268863360 is a wasteful number, since it uses less digits than its factorization.

3268863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3268863360 is about 57173.9744988924. The cubic root of 3268863360 is about 1484.1082834750.

The spelling of 3268863360 in words is "three billion, two hundred sixty-eight million, eight hundred sixty-three thousand, three hundred sixty".