3201038028 has 144 divisors (see below), whose sum is σ = 8586658080. Its totient is φ = 1042481664.

The previous prime is 3201038011. The next prime is 3201038039. The reversal of 3201038028 is 8208301023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3201037992 and 3201038010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13978218 + ... + 13978446.

It is an arithmetic number, because the mean of its divisors is an integer number (59629570).

Almost surely, 2^3201038028 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 3201038028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293329040).

3201038028 is an abundant number, since it is smaller than the sum of its proper divisors (5385620052).

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

3201038028 is a wasteful number, since it uses less digits than its factorization.

3201038028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3201038028 is about 56577.7167089659. The cubic root of 3201038028 is about 1473.7719208907.

The spelling of 3201038028 in words is "three billion, two hundred one million, thirty-eight thousand, twenty-eight".