3000434320 has 80 divisors (see below), whose sum is σ = 7615731312. Its totient is φ = 1092648960.

The previous prime is 3000434287. The next prime is 3000434383. The reversal of 3000434320 is 234340003.

It can be written as a sum of positive squares in 8 ways, for example, as 937094544 + 2063339776 = 30612^2 + 45424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3000434320² = 18005212217267724800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56160 + ... + 95680.

Almost surely, 2^3000434320 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 3000434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807865656).

3000434320 is an abundant number, since it is smaller than the sum of its proper divisors (4615296992).

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

3000434320 is a wasteful number, since it uses less digits than its factorization.

3000434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39620 (or 39614 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3000434320 is about 54776.2203880480. The cubic root of 3000434320 is about 1442.3191667082.

Adding to 3000434320 its reverse (234340003), we get a palindrome (3234774323).

The spelling of 3000434320 in words is "three billion, four hundred thirty-four thousand, three hundred twenty".