3005381428 has 72 divisors (see below), whose sum is σ = 6316179072. Its totient is φ = 1225368000.

The previous prime is 3005381369. The next prime is 3005381429. The reversal of 3005381428 is 8241835003.

It is a happy number.

3005381428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3005381393 and 3005381402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005381429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640473 + ... + 1642303.

Almost surely, 2^3005381428 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 3005381428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158089536).

3005381428 is an abundant number, since it is smaller than the sum of its proper divisors (3310797644).

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

3005381428 is a wasteful number, since it uses less digits than its factorization.

3005381428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3005381428 is about 54821.3592315988. The cubic root of 3005381428 is about 1443.1114287561. Note that the first 3 decimals are identical.

The spelling of 3005381428 in words is "three billion, five million, three hundred eighty-one thousand, four hundred twenty-eight".