3282420240 has 480 divisors, whose sum is σ = 13101244800. Its totient is φ = 752716800.

The previous prime is 3282420209. The next prime is 3282420269. The reversal of 3282420240 is 420242823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4965510 + ... + 4966170.

It is an arithmetic number, because the mean of its divisors is an integer number (27294260).

Almost surely, 2^3282420240 is an apocalyptic number.

3282420240 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 3282420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550622400).

3282420240 is an abundant number, since it is smaller than the sum of its proper divisors (9818824560).

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

3282420240 is a wasteful number, since it uses less digits than its factorization.

3282420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3282420240 is about 57292.4099685115. The cubic root of 3282420240 is about 1486.1571228186.

The spelling of 3282420240 in words is "three billion, two hundred eighty-two million, four hundred twenty thousand, two hundred forty".