34332121200330 has 96 divisors (see below), whose sum is σ = 89307932313600. Its totient is φ = 9150678044160.

The previous prime is 34332121200271. The next prime is 34332121200337. The reversal of 34332121200330 is 3300212123343.

34332121200330 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 2 + 121 + 200 + 330 = 666.

It is a super-2 number, since 2×34332121200330² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34332121200294 and 34332121200303.

It is not an unprimeable number, because it can be changed into a prime (34332121200337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831720939 + ... + 1831739681.

It is an arithmetic number, because the mean of its divisors is an integer number (930290961600).

Almost surely, 2^{34332121200330} is an apocalyptic number.

34332121200330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34332121200330 is an abundant number, since it is smaller than the sum of its proper divisors (54975811113270).

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

34332121200330 is a wasteful number, since it uses less digits than its factorization.

34332121200330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27796 (or 27793 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34332121200330 its reverse (3300212123343), we get a palindrome (37632333323673).

The spelling of 34332121200330 in words is "thirty-four trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred thousand, three hundred thirty".