3268206000 has 240 divisors, whose sum is σ = 11784983808. Its totient is φ = 843264000.

The previous prime is 3268205971. The next prime is 3268206023. The reversal of 3268206000 is 6028623.

3268206000 is a `hidden beast` number, since 32 + 6 + 8 + 20 + 600 + 0 = 666.

3268206000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555072 + ... + 560928.

Almost surely, 2^3268206000 is an apocalyptic number.

3268206000 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 3268206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892491904).

3268206000 is an abundant number, since it is smaller than the sum of its proper divisors (8516777808).

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

3268206000 is a wasteful number, since it uses less digits than its factorization.

3268206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3268206000 is about 57168.2254403615. The cubic root of 3268206000 is about 1484.0087933549.

The spelling of 3268206000 in words is "three billion, two hundred sixty-eight million, two hundred six thousand".