3005030400 has 336 divisors, whose sum is σ = 10222467744. Its totient is φ = 778567680.

The previous prime is 3005030393. The next prime is 3005030401. The reversal of 3005030400 is 40305003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3005030400.

It is not an unprimeable number, because it can be changed into a prime (3005030401) 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, 41164764 + ... + 41164836.

Almost surely, 2^3005030400 is an apocalyptic number.

3005030400 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 3005030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111233872).

3005030400 is an abundant number, since it is smaller than the sum of its proper divisors (7217437344).

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

3005030400 is an equidigital number, since it uses as much as digits as its factorization.

3005030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3005030400 is about 54818.1575757522. The cubic root of 3005030400 is about 1443.0552415184.

Adding to 3005030400 its reverse (40305003), we get a palindrome (3045335403).

The spelling of 3005030400 in words is "three billion, five million, thirty thousand, four hundred".