34036664469025 has 81 divisors (see below), whose sum is σ = 43781472925099. Its totient is φ = 26248760224000.

The previous prime is 34036664469023. The next prime is 34036664469037. The reversal of 34036664469025 is 52096446663043.

It is a happy number.

The square root of 34036664469025 is 5834095.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29888012462049 + 4148652006976 = 5466993^2 + 2036824^2 .

It is not a de Polignac number, because 34036664469025 - 2¹ = 34036664469023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34036664469023) 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 80 ways as a sum of consecutive naturals, for example, 178202431680 + ... + 178202431870.

Almost surely, 2^{34036664469025} is an apocalyptic number.

34036664469025 is the 5834095-th square number.

34036664469025 is the 2917048-th centered octagonal number.

It is an amenable number.

34036664469025 is a deficient number, since it is larger than the sum of its proper divisors (9744808456074).

34036664469025 is an frugal number, since it uses more digits than its factorization.

34036664469025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 58.

The spelling of 34036664469025 in words is "thirty-four trillion, thirty-six billion, six hundred sixty-four million, four hundred sixty-nine thousand, twenty-five".