3286402560 has 720 divisors, whose sum is σ = 13753932192. Its totient is φ = 722534400.

The previous prime is 3286402547. The next prime is 3286402579. The reversal of 3286402560 is 652046823.

3286402560 is a `hidden beast` number, since 3 + 2 + 8 + 640 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46287325 + ... + 46287395.

Almost surely, 2^3286402560 is an apocalyptic number.

3286402560 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 3286402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876966096).

3286402560 is an abundant number, since it is smaller than the sum of its proper divisors (10467529632).

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

3286402560 is a wasteful number, since it uses less digits than its factorization.

3286402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3286402560 is about 57327.1537755015. The cubic root of 3286402560 is about 1486.7578951124.

The spelling of 3286402560 in words is "three billion, two hundred eighty-six million, four hundred two thousand, five hundred sixty".