3266509680 has 800 divisors, whose sum is σ = 14104240128. Its totient is φ = 684288000.

The previous prime is 3266509667. The next prime is 3266509717. The reversal of 3266509680 is 869056623.

It is a happy number.

3266509680 is a `hidden beast` number, since 3 + 2 + 66 + 509 + 6 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32341630 + ... + 32341730.

Almost surely, 2^3266509680 is an apocalyptic number.

3266509680 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 3266509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052120064).

3266509680 is an abundant number, since it is smaller than the sum of its proper divisors (10837730448).

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

3266509680 is a wasteful number, since it uses less digits than its factorization.

3266509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3266509680 is about 57153.3873011915. The cubic root of 3266509680 is about 1483.7519970722.

The spelling of 3266509680 in words is "three billion, two hundred sixty-six million, five hundred nine thousand, six hundred eighty".