34565624641 has 8 divisors (see below), whose sum is σ = 35221400424. Its totient is φ = 33909982080.

The previous prime is 34565624633. The next prime is 34565624651. The reversal of 34565624641 is 14642656543.

It can be written as a sum of positive squares in 4 ways, for example, as 6388645041 + 28176979600 = 79929^2 + 167860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34565624641 - 2³ = 34565624633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34565624591 and 34565624600.

It is not an unprimeable number, because it can be changed into a prime (34565624651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605565 + ... + 660181.

It is an arithmetic number, because the mean of its divisors is an integer number (4402675053).

Almost surely, 2^34565624641 is an apocalyptic number.

It is an amenable number.

34565624641 is a deficient number, since it is larger than the sum of its proper divisors (655775783).

34565624641 is a wasteful number, since it uses less digits than its factorization.

34565624641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66611.

The product of its digits is 2073600, while the sum is 46.

The spelling of 34565624641 in words is "thirty-four billion, five hundred sixty-five million, six hundred twenty-four thousand, six hundred forty-one".