3202267920 has 160 divisors (see below), whose sum is σ = 10579894272. Its totient is φ = 799366656.

The previous prime is 3202267907. The next prime is 3202267963. The reversal of 3202267920 is 297622023.

It is a super-2 number, since 2×3202267920² = 20509039662922252800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253269 + ... + 265611.

Almost surely, 2^3202267920 is an apocalyptic number.

3202267920 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 3202267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289947136).

3202267920 is an abundant number, since it is smaller than the sum of its proper divisors (7377626352).

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

3202267920 is a wasteful number, since it uses less digits than its factorization.

3202267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3202267920 is about 56588.5847145871. The cubic root of 3202267920 is about 1473.9606459425.

Adding to 3202267920 its reverse (297622023), we get a palindrome (3499889943).

The spelling of 3202267920 in words is "three billion, two hundred two million, two hundred sixty-seven thousand, nine hundred twenty".