34000370373333 has 64 divisors (see below), whose sum is σ = 57315902353920. Its totient is φ = 17445764385792.

The previous prime is 34000370373269. The next prime is 34000370373377. The reversal of 34000370373333 is 33337307300043.

It is not a de Polignac number, because 34000370373333 - 2⁶ = 34000370373269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34000370373291 and 34000370373300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000370373533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46475383 + ... + 47201291.

It is an arithmetic number, because the mean of its divisors is an integer number (895560974280).

Almost surely, 2^{34000370373333} is an apocalyptic number.

It is an amenable number.

34000370373333 is a deficient number, since it is larger than the sum of its proper divisors (23315531980587).

34000370373333 is a wasteful number, since it uses less digits than its factorization.

34000370373333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730606.

The product of its (nonzero) digits is 428652, while the sum is 39.

Adding to 34000370373333 its reverse (33337307300043), we get a palindrome (67337677673376).

The spelling of 34000370373333 in words is "thirty-four trillion, three hundred seventy million, three hundred seventy-three thousand, three hundred thirty-three".