3282408360 has 640 divisors, whose sum is σ = 14050713600. Its totient is φ = 667491840.

The previous prime is 3282408347. The next prime is 3282408373. The reversal of 3282408360 is 638042823.

It is an interprime number because it is at equal distance from previous prime (3282408347) and next prime (3282408373).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14719209 + ... + 14719431.

It is an arithmetic number, because the mean of its divisors is an integer number (21954240).

Almost surely, 2^3282408360 is an apocalyptic number.

3282408360 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 3282408360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025356800).

3282408360 is an abundant number, since it is smaller than the sum of its proper divisors (10768305240).

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

3282408360 is a wasteful number, since it uses less digits than its factorization.

3282408360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3282408360 is about 57292.3062897629. The cubic root of 3282408360 is about 1486.1553298766.

The spelling of 3282408360 in words is "three billion, two hundred eighty-two million, four hundred eight thousand, three hundred sixty".