3005434314 has 64 divisors (see below), whose sum is σ = 7132032000. Its totient is φ = 936048960.

The previous prime is 3005434279. The next prime is 3005434337. The reversal of 3005434314 is 4134345003.

3005434314 is a `hidden beast` number, since 300 + 5 + 4 + 343 + 14 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17592 + ... + 79500.

It is an arithmetic number, because the mean of its divisors is an integer number (111438000).

Almost surely, 2^3005434314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566016000).

3005434314 is an abundant number, since it is smaller than the sum of its proper divisors (4126597686).

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

3005434314 is a wasteful number, since it uses less digits than its factorization.

3005434314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61980 (or 61974 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3005434314 is about 54821.8415779696. The cubic root of 3005434314 is about 1443.1198935656.

Adding to 3005434314 its reverse (4134345003), we get a palindrome (7139779317).

The spelling of 3005434314 in words is "three billion, five million, four hundred thirty-four thousand, three hundred fourteen".