34033420341300 has 72 divisors (see below), whose sum is σ = 98698498641792. Its totient is φ = 9054521696000.

The previous prime is 34033420341289. The next prime is 34033420341301. The reversal of 34033420341300 is 314302433043.

It is a super-2 number, since 2×34033420341300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033420341301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131477121 + ... + 131735720.

It is an arithmetic number, because the mean of its divisors is an integer number (1370812481136).

Almost surely, 2^{34033420341300} is an apocalyptic number.

34033420341300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34033420341300 is an abundant number, since it is smaller than the sum of its proper divisors (64665078300492).

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

34033420341300 is a wasteful number, since it uses less digits than its factorization.

34033420341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263213289 (or 263213282 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34033420341300 its reverse (314302433043), we get a palindrome (34347722774343).

The spelling of 34033420341300 in words is "thirty-four trillion, thirty-three billion, four hundred twenty million, three hundred forty-one thousand, three hundred".