3200331001020 has 192 divisors, whose sum is σ = 9234787968000. Its totient is φ = 827503699968.

The previous prime is 3200331000943. The next prime is 3200331001033. The reversal of 3200331001020 is 201001330023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 982599232 + ... + 982602488.

It is an arithmetic number, because the mean of its divisors is an integer number (48097854000).

Almost surely, 2^{3200331001020} is an apocalyptic number.

3200331001020 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 3200331001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617393984000).

3200331001020 is an abundant number, since it is smaller than the sum of its proper divisors (6034456966980).

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

3200331001020 is a wasteful number, since it uses less digits than its factorization.

3200331001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3200331001020 its reverse (201001330023), we get a palindrome (3401332331043).

The spelling of 3200331001020 in words is "three trillion, two hundred billion, three hundred thirty-one million, one thousand, twenty".