3286643040 has 144 divisors (see below), whose sum is σ = 11631202128. Its totient is φ = 876427776.

The previous prime is 3286643039. The next prime is 3286643053. The reversal of 3286643040 is 403466823.

It is a happy number.

3286643040 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 643 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3286642986 and 3286643004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387 + ... + 81146.

It is an arithmetic number, because the mean of its divisors is an integer number (80772237).

Almost surely, 2^3286643040 is an apocalyptic number.

3286643040 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 3286643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815601064).

3286643040 is an abundant number, since it is smaller than the sum of its proper divisors (8344559088).

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

3286643040 is an equidigital number, since it uses as much as digits as its factorization.

3286643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84563 (or 84543 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3286643040 is about 57329.2511725036. The cubic root of 3286643040 is about 1486.7941583528.

The spelling of 3286643040 in words is "three billion, two hundred eighty-six million, six hundred forty-three thousand, forty".