34541350348224 has 56 divisors (see below), whose sum is σ = 91391309457808. Its totient is φ = 11513701140480.

The previous prime is 34541350348223. The next prime is 34541350348283. The reversal of 34541350348224 is 42284305314543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34541350348223) 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, 30103254 + ... + 31229610.

Almost surely, 2^{34541350348224} is an apocalyptic number.

It is an amenable number.

34541350348224 is an abundant number, since it is smaller than the sum of its proper divisors (56849959109584).

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

34541350348224 is a wasteful number, since it uses less digits than its factorization.

34541350348224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286093 (or 1286083 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 34541350348224 in words is "thirty-four trillion, five hundred forty-one billion, three hundred fifty million, three hundred forty-eight thousand, two hundred twenty-four".