3239838720 has 132 divisors (see below), whose sum is σ = 11226116460. Its totient is φ = 863944704.

The previous prime is 3239838709. The next prime is 3239838727. The reversal of 3239838720 is 278389323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 823919616 + 2415919104 = 28704^2 + 49152^2 .

It is a super-2 number, since 2×3239838720² = 20993109863222476800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3239838727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10926 + ... + 81234.

Almost surely, 2^3239838720 is an apocalyptic number.

3239838720 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 3239838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613058230).

3239838720 is an abundant number, since it is smaller than the sum of its proper divisors (7986277740).

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

3239838720 is a wasteful number, since it uses less digits than its factorization.

3239838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70340 (or 70319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3239838720 is about 56919.5811650086. The cubic root of 3239838720 is about 1479.7026916796.

The spelling of 3239838720 in words is "three billion, two hundred thirty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".