3239945280 has 336 divisors, whose sum is σ = 13093988544. Its totient is φ = 724930560.

The previous prime is 3239945273. The next prime is 3239945311. The reversal of 3239945280 is 825499323.

It is a happy number.

3239945280 is a `hidden beast` number, since 3 + 2 + 39 + 94 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407907 + ... + 415773.

It is an arithmetic number, because the mean of its divisors is an integer number (38970204).

Almost surely, 2^3239945280 is an apocalyptic number.

3239945280 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 3239945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546994272).

3239945280 is an abundant number, since it is smaller than the sum of its proper divisors (9854043264).

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

3239945280 is a wasteful number, since it uses less digits than its factorization.

3239945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3239945280 is about 56920.5172147970. The cubic root of 3239945280 is about 1479.7189142350.

The spelling of 3239945280 in words is "three billion, two hundred thirty-nine million, nine hundred forty-five thousand, two hundred eighty".