3286020960 has 288 divisors, whose sum is σ = 11711831040. Its totient is φ = 870041088.

The previous prime is 3286020953. The next prime is 3286021003. The reversal of 3286020960 is 690206823.

3286020960 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 (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8670051 + ... + 8670429.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 2^3286020960 is an apocalyptic number.

3286020960 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 3286020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855915520).

3286020960 is an abundant number, since it is smaller than the sum of its proper divisors (8425810080).

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

3286020960 is a wasteful number, since it uses less digits than its factorization.

3286020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3286020960 is about 57323.8254131735. The cubic root of 3286020960 is about 1486.7003480162.

The spelling of 3286020960 in words is "three billion, two hundred eighty-six million, twenty thousand, nine hundred sixty".