3200021000 has 128 divisors (see below), whose sum is σ = 8200033920. Its totient is φ = 1159200000.

The previous prime is 3200020997. The next prime is 3200021003. The reversal of 3200021000 is 1200023.

3200021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3200020997) and next prime (3200021003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (3200021003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630655 + ... + 4631345.

It is an arithmetic number, because the mean of its divisors is an integer number (64062765).

Almost surely, 2^3200021000 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 3200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100016960).

3200021000 is an abundant number, since it is smaller than the sum of its proper divisors (5000012920).

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

3200021000 is a wasteful number, since it uses less digits than its factorization.

3200021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3200021000 is about 56568.7281101493. The cubic root of 3200021000 is about 1473.6158229767.

Adding to 3200021000 its reverse (1200023), we get a palindrome (3201221023).

The spelling of 3200021000 in words is "three billion, two hundred million, twenty-one thousand".