34680033303003 has 128 divisors (see below), whose sum is σ = 56659046400000. Its totient is φ = 20790517950720.

The previous prime is 34680033302989. The next prime is 34680033303031. The reversal of 34680033303003 is 30030333008643.

34680033303003 is a `hidden beast` number, since 346 + 8 + 0 + 0 + 3 + 3 + 3 + 0 + 300 + 3 = 666.

It is not a de Polignac number, because 34680033303003 - 2¹² = 34680033298907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34680033373003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17348689998 + ... + 17348691996.

It is an arithmetic number, because the mean of its divisors is an integer number (442648800000).

Almost surely, 2^{34680033303003} is an apocalyptic number.

34680033303003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34680033303003 is a deficient number, since it is larger than the sum of its proper divisors (21979013096997).

34680033303003 is a wasteful number, since it uses less digits than its factorization.

34680033303003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 34680033303003 in words is "thirty-four trillion, six hundred eighty billion, thirty-three million, three hundred three thousand, three".