34139583361 has 27 divisors (see below), whose sum is σ = 37745673147. Its totient is φ = 30863813760.

The previous prime is 34139583349. The next prime is 34139583371. The reversal of 34139583361 is 16338593143.

The square root of 34139583361 is 184769.

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 25498021761 + 8641561600 = 159681^2 + 92960^2 .

It is not a de Polignac number, because 34139583361 - 2⁵ = 34139583329 is a prime.

It is a super-2 number, since 2×34139583361² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34139583301) 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, 146521701 + ... + 146521933.

Almost surely, 2^34139583361 is an apocalyptic number.

34139583361 is the 184769-th square number.

34139583361 is the 92385-th centered octagonal number.

It is an amenable number.

34139583361 is a deficient number, since it is larger than the sum of its proper divisors (3606089786).

34139583361 is an frugal number, since it uses more digits than its factorization.

34139583361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The spelling of 34139583361 in words is "thirty-four billion, one hundred thirty-nine million, five hundred eighty-three thousand, three hundred sixty-one".