34390495364281 has 27 divisors (see below), whose sum is σ = 40093471882863. Its totient is φ = 29412719572320.

The previous prime is 34390495364233. The next prime is 34390495364363. The reversal of 34390495364281 is 18246359409343.

It is a happy number.

The square root of 34390495364281 is 5864341.

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., 33202430244025 + 1188065120256 = 5762155^2 + 1089984^2 .

It is not a de Polignac number, because 34390495364281 - 2²³ = 34390486975673 is a prime.

It is a super-2 number, since 2×34390495364281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34390495364081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33291863341 + ... + 33291864373.

It is an arithmetic number, because the mean of its divisors is an integer number (1484943403069).

Almost surely, 2^{34390495364281} is an apocalyptic number.

34390495364281 is the 5864341-st square number.

34390495364281 is the 2932171-st centered octagonal number.

It is an amenable number.

34390495364281 is a deficient number, since it is larger than the sum of its proper divisors (5702976518582).

34390495364281 is an frugal number, since it uses more digits than its factorization.

34390495364281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 61.

The spelling of 34390495364281 in words is "thirty-four trillion, three hundred ninety billion, four hundred ninety-five million, three hundred sixty-four thousand, two hundred eighty-one".