34438833941657 has 8 divisors (see below), whose sum is σ = 35936422718400. Its totient is φ = 32941265845840.

The previous prime is 34438833941639. The next prime is 34438833941663. The reversal of 34438833941657 is 75614933883443.

It is a happy number.

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 34438833941657 - 2¹⁰ = 34438833940633 is a prime.

It is a super-2 number, since 2×34438833941657² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34438833941357) 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, 1718282 + ... + 8475267.

It is an arithmetic number, because the mean of its divisors is an integer number (4492052839800).

Almost surely, 2^{34438833941657} is an apocalyptic number.

It is an amenable number.

34438833941657 is a deficient number, since it is larger than the sum of its proper divisors (1497588776743).

34438833941657 is a wasteful number, since it uses less digits than its factorization.

34438833941657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340463.

The product of its digits is 627056640, while the sum is 68.

The spelling of 34438833941657 in words is "thirty-four trillion, four hundred thirty-eight billion, eight hundred thirty-three million, nine hundred forty-one thousand, six hundred fifty-seven".