34742716447625 has 32 divisors (see below), whose sum is σ = 43542555332640. Its totient is φ = 27676576972800.

The previous prime is 34742716447619. The next prime is 34742716447723. The reversal of 34742716447625 is 52674461724743.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 27436350672784 + 7306365774841 = 5237972^2 + 2703029^2 .

It is not a de Polignac number, because 34742716447625 - 2¹² = 34742716443529 is a prime.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55399817 + ... + 56023433.

It is an arithmetic number, because the mean of its divisors is an integer number (1360704854145).

Almost surely, 2^{34742716447625} is an apocalyptic number.

It is an amenable number.

34742716447625 is a deficient number, since it is larger than the sum of its proper divisors (8799838885015).

34742716447625 is a wasteful number, since it uses less digits than its factorization.

34742716447625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625518 (or 625508 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 62.

The spelling of 34742716447625 in words is "thirty-four trillion, seven hundred forty-two billion, seven hundred sixteen million, four hundred forty-seven thousand, six hundred twenty-five".