34137213402436 has 27 divisors (see below), whose sum is σ = 60006840379479. Its totient is φ = 16992739163808.

The previous prime is 34137213402407. The next prime is 34137213402463. The reversal of 34137213402436 is 63420431273143.

The square root of 34137213402436 is 5842706.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10902345496900 + 23234867905536 = 3301870^2 + 4820256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34137213402392 and 34137213402401.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2675952970 + ... + 2675965726.

Almost surely, 2^{34137213402436} is an apocalyptic number.

34137213402436 is the 5842706-th square number.

It is an amenable number.

34137213402436 is a deficient number, since it is larger than the sum of its proper divisors (25869626977043).

34137213402436 is an frugal number, since it uses more digits than its factorization.

34137213402436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25976 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

Adding to 34137213402436 its reverse (63420431273143), we get a palindrome (97557644675579).

The spelling of 34137213402436 in words is "thirty-four trillion, one hundred thirty-seven billion, two hundred thirteen million, four hundred two thousand, four hundred thirty-six".