3434605986361 has 27 divisors (see below), whose sum is σ = 3794122090479. Its totient is φ = 3106820151600.

The previous prime is 3434605986347. The next prime is 3434605986367. The reversal of 3434605986361 is 1636895064343.

It is a happy number.

The square root of 3434605986361 is 1853269.

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., 2792972945961 + 641633040400 = 1671219^2 + 801020^2 .

It is not a de Polignac number, because 3434605986361 - 2³³ = 3426016051769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3434605986296 and 3434605986305.

It is not an unprimeable number, because it can be changed into a prime (3434605986367) 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, 6747752175 + ... + 6747752683.

Almost surely, 2^{3434605986361} is an apocalyptic number.

3434605986361 is the 1853269-th square number.

3434605986361 is the 926635-th centered octagonal number.

It is an amenable number.

3434605986361 is a deficient number, since it is larger than the sum of its proper divisors (359516104118).

3434605986361 is an frugal number, since it uses more digits than its factorization.

3434605986361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 58.

The spelling of 3434605986361 in words is "three trillion, four hundred thirty-four billion, six hundred five million, nine hundred eighty-six thousand, three hundred sixty-one".