30034400000 has 216 divisors, whose sum is σ = 81770735088. Its totient is φ = 10918400000.

The previous prime is 30034399963. The next prime is 30034400057. The reversal of 30034400000 is 443003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8798294 + ... + 8801706.

It is an arithmetic number, because the mean of its divisors is an integer number (378568218).

Almost surely, 2^30034400000 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 30034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40885367544).

30034400000 is an abundant number, since it is smaller than the sum of its proper divisors (51736335088).

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

30034400000 is an frugal number, since it uses more digits than its factorization.

30034400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 30034400000 its reverse (443003), we get a palindrome (30034843003).

It can be divided in two parts, 30034 and 400000, that added together give a palindrome (430034).

The spelling of 30034400000 in words is "thirty billion, thirty-four million, four hundred thousand".