3286913760 has 288 divisors, whose sum is σ = 12254493888. Its totient is φ = 797368320.

The previous prime is 3286913723. The next prime is 3286913767. The reversal of 3286913760 is 673196823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286913767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327884 + ... + 1330356.

It is an arithmetic number, because the mean of its divisors is an integer number (42550326).

Almost surely, 2^3286913760 is an apocalyptic number.

3286913760 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 3286913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127246944).

3286913760 is an abundant number, since it is smaller than the sum of its proper divisors (8967580128).

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

3286913760 is a wasteful number, since it uses less digits than its factorization.

3286913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3286913760 is about 57331.6122222287. The cubic root of 3286913760 is about 1486.8349795250.

The spelling of 3286913760 in words is "three billion, two hundred eighty-six million, nine hundred thirteen thousand, seven hundred sixty".