34590995350921 has 9 divisors (see below), whose sum is σ = 35414403971751. Its totient is φ = 33786306579312.

The previous prime is 34590995350913. The next prime is 34590995350931. The reversal of 34590995350921 is 12905359909543.

The square root of 34590995350921 is 5881411.

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

It can be written as a sum of positive squares in only one way, i.e., 12643878025 + 34578351472896 = 112445^2 + 5880336^2 .

It is not a de Polignac number, because 34590995350921 - 2³ = 34590995350913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34590995350931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252832285 + ... + 252969061.

It is an arithmetic number, because the mean of its divisors is an integer number (3934933774639).

Almost surely, 2^{34590995350921} is an apocalyptic number.

34590995350921 is the 5881411-st square number.

34590995350921 is the 2940706-th centered octagonal number.

It is an amenable number.

34590995350921 is a deficient number, since it is larger than the sum of its proper divisors (823408620830).

34590995350921 is an frugal number, since it uses more digits than its factorization.

34590995350921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273640 (or 136820 counting only the distinct ones).

The product of its (nonzero) digits is 59049000, while the sum is 64.

The spelling of 34590995350921 in words is "thirty-four trillion, five hundred ninety billion, nine hundred ninety-five million, three hundred fifty thousand, nine hundred twenty-one".