34346104531248 has 40 divisors (see below), whose sum is σ = 91787003492400. Its totient is φ = 11053918699264.

The previous prime is 34346104531247. The next prime is 34346104531337. The reversal of 34346104531248 is 84213540164343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34346104531197 and 34346104531206.

It is not an unprimeable number, because it can be changed into a prime (34346104531247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12336961443 + ... + 12336964226.

It is an arithmetic number, because the mean of its divisors is an integer number (2294675087310).

Almost surely, 2^{34346104531248} is an apocalyptic number.

It is an amenable number.

34346104531248 is an abundant number, since it is smaller than the sum of its proper divisors (57440898961152).

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

34346104531248 is a wasteful number, since it uses less digits than its factorization.

34346104531248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24673925709 (or 24673925703 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 34346104531248 in words is "thirty-four trillion, three hundred forty-six billion, one hundred four million, five hundred thirty-one thousand, two hundred forty-eight".