3201020004 has 96 divisors (see below), whose sum is σ = 9277354240. Its totient is φ = 836448768.

The previous prime is 3201019993. The next prime is 3201020047. The reversal of 3201020004 is 4000201023.

It is a super-4 number, since 4×3201020004⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105582 + ... + 132474.

Almost surely, 2^3201020004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638677120).

3201020004 is an abundant number, since it is smaller than the sum of its proper divisors (6076334236).

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

3201020004 is a wasteful number, since it uses less digits than its factorization.

3201020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27029 (or 27027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3201020004 is about 56577.5574234166. The cubic root of 3201020004 is about 1473.7691547760.

Adding to 3201020004 its reverse (4000201023), we get a palindrome (7201221027).

The spelling of 3201020004 in words is "three billion, two hundred one million, twenty thousand, four".