34425654651344 has 80 divisors (see below), whose sum is σ = 73181375467200. Its totient is φ = 15558157440000.

The previous prime is 34425654651299. The next prime is 34425654651359. The reversal of 34425654651344 is 44315645652443.

It is a self number, because there is not a number n which added to its sum of digits gives 34425654651344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147982319 + ... + 148214769.

It is an arithmetic number, because the mean of its divisors is an integer number (914767193340).

Almost surely, 2^{34425654651344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425654651344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590687733600).

34425654651344 is an abundant number, since it is smaller than the sum of its proper divisors (38755720815856).

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

34425654651344 is a wasteful number, since it uses less digits than its factorization.

34425654651344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237300 (or 237294 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 56.

The spelling of 34425654651344 in words is "thirty-four trillion, four hundred twenty-five billion, six hundred fifty-four million, six hundred fifty-one thousand, three hundred forty-four".