3005425920 has 288 divisors, whose sum is σ = 11616853248. Its totient is φ = 646447104.

The previous prime is 3005425919. The next prime is 3005425921. The reversal of 3005425920 is 295245003.

It is an interprime number because it is at equal distance from previous prime (3005425919) and next prime (3005425921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3005425921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453672 + ... + 460248.

It is an arithmetic number, because the mean of its divisors is an integer number (40336296).

Almost surely, 2^3005425920 is an apocalyptic number.

3005425920 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 3005425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808426624).

3005425920 is an abundant number, since it is smaller than the sum of its proper divisors (8611427328).

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

3005425920 is a wasteful number, since it uses less digits than its factorization.

3005425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3005425920 is about 54821.7650208382. The cubic root of 3005425920 is about 1443.1185500482.

The spelling of 3005425920 in words is "three billion, five million, four hundred twenty-five thousand, nine hundred twenty".