3289476960 has 1152 divisors, whose sum is σ = 15444172800. Its totient is φ = 638668800.

The previous prime is 3289476899. The next prime is 3289476977. The reversal of 3289476960 is 696749823.

It is a happy number.

3289476960 is a `hidden beast` number, since 3 + 2 + 89 + 476 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3289476897 and 3289476906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106112145 + ... + 106112175.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 2^3289476960 is an apocalyptic number.

3289476960 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 3289476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

3289476960 is an abundant number, since it is smaller than the sum of its proper divisors (12154695840).

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

3289476960 is a wasteful number, since it uses less digits than its factorization.

3289476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3289476960 is about 57353.9620253039. The cubic root of 3289476960 is about 1487.2213668254.

It can be divided in two parts, 3289 and 476960, that added together give a square (480249 = 693²).

The spelling of 3289476960 in words is "three billion, two hundred eighty-nine million, four hundred seventy-six thousand, nine hundred sixty".