334330002012030 has 768 divisors, whose sum is σ = 923952268627200. Its totient is φ = 77113627508736.

The previous prime is 334330002011983. The next prime is 334330002012031. The reversal of 334330002012030 is 30210200033433.

It is a happy number.

It is a super-2 number, since 2×334330002012030² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334330002012031) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 600233396512 + ... + 600233397068.

It is an arithmetic number, because the mean of its divisors is an integer number (1203062849775).

Almost surely, 2^{334330002012030} is an apocalyptic number.

334330002012030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334330002012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461976134313600).

334330002012030 is an abundant number, since it is smaller than the sum of its proper divisors (589622266615170).

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

334330002012030 is a wasteful number, since it uses less digits than its factorization.

334330002012030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 334330002012030 its reverse (30210200033433), we get a palindrome (364540202045463).

The spelling of 334330002012030 in words is "three hundred thirty-four trillion, three hundred thirty billion, two million, twelve thousand, thirty".