34366701985344 has 105 divisors (see below), whose sum is σ = 101874922008321. Its totient is φ = 11455426632960.

The previous prime is 34366701985339. The next prime is 34366701985351. The reversal of 34366701985344 is 44358910766343.

It is a happy number.

The square root of 34366701985344 is 5862312.

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

34366701985344 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 6 + 7 + 0 + 1 + 98 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34036582791744 + 330119193600 = 5834088^2 + 574560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 422045754 + ... + 422127174.

Almost surely, 2^{34366701985344} is an apocalyptic number.

34366701985344 is the 5862312-nd square number.

It is an amenable number.

34366701985344 is an abundant number, since it is smaller than the sum of its proper divisors (67508220022977).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34366701985344 is an frugal number, since it uses more digits than its factorization.

34366701985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162866 (or 81426 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 34366701985344 in words is "thirty-four trillion, three hundred sixty-six billion, seven hundred one million, nine hundred eighty-five thousand, three hundred forty-four".