3202129920 has 448 divisors, whose sum is σ = 11776886784. Its totient is φ = 735313920.

The previous prime is 3202129919. The next prime is 3202129963. The reversal of 3202129920 is 299212023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31088589 + ... + 31088691.

Almost surely, 2^3202129920 is an apocalyptic number.

3202129920 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 3202129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888443392).

3202129920 is an abundant number, since it is smaller than the sum of its proper divisors (8574756864).

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

3202129920 is a wasteful number, since it uses less digits than its factorization.

3202129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3202129920 is about 56587.3653742600. The cubic root of 3202129920 is about 1473.9394724601.

The spelling of 3202129920 in words is "three billion, two hundred two million, one hundred twenty-nine thousand, nine hundred twenty".