34500128489761 has 9 divisors (see below), whose sum is σ = 37921699854129. Its totient is φ = 31363694435700.

The previous prime is 34500128489731. The next prime is 34500128489791. The reversal of 34500128489761 is 16798482100543.

The square root of 34500128489761 is 5873681.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (34500128489731) and next prime (34500128489791).

It is not a de Polignac number, because 34500128489761 - 2⁷ = 34500128489633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34500128489696 and 34500128489705.

It is not an unprimeable number, because it can be changed into a prime (34500128489731) 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 8 ways as a sum of consecutive naturals, for example, 64343506 + ... + 64877476.

It is a 1-persistent number, because it is pandigital, but 2⋅34500128489761 = 69000256979522 is not.

Almost surely, 2^{34500128489761} is an apocalyptic number.

34500128489761 is the 5873681-st square number.

34500128489761 is the 2936841-st centered octagonal number.

It is an amenable number.

34500128489761 is a deficient number, since it is larger than the sum of its proper divisors (3421571364368).

34500128489761 is an frugal number, since it uses more digits than its factorization.

34500128489761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067964 (or 533982 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 34500128489761 in words is "thirty-four trillion, five hundred billion, one hundred twenty-eight million, four hundred eighty-nine thousand, seven hundred sixty-one".