3854321328 has 480 divisors, whose sum is σ = 13046664960. Its totient is φ = 965099520.

The previous prime is 3854321291. The next prime is 3854321369. The reversal of 3854321328 is 8231234583.

3854321328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57527151 + ... + 57527217.

It is an arithmetic number, because the mean of its divisors is an integer number (27180552).

Almost surely, 2^3854321328 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 3854321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523332480).

3854321328 is an abundant number, since it is smaller than the sum of its proper divisors (9192343632).

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

3854321328 is a wasteful number, since it uses less digits than its factorization.

3854321328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 3854321328 is about 62083.1807174858. The cubic root of 3854321328 is about 1567.8913810466.

It can be divided in two parts, 385432 and 1328, that added together give a triangular number (386760 = T₈₇₉).

The spelling of 3854321328 in words is "three billion, eight hundred fifty-four million, three hundred twenty-one thousand, three hundred twenty-eight".