34674773783841 has 45 divisors (see below), whose sum is σ = 54150031576641. Its totient is φ = 22110672663288.

The previous prime is 34674773783827. The next prime is 34674773783861. The reversal of 34674773783841 is 14838737747643.

The square root of 34674773783841 is 5888529.

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

34674773783841 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 477 + 3 + 78 + 3 + 84 + 1 = 666.

It is not a de Polignac number, because 34674773783841 - 2⁹ = 34674773783329 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34674773783841.

It is not an unprimeable number, because it can be changed into a prime (34674773783861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1218911280 + ... + 1218939726.

Almost surely, 2^{34674773783841} is an apocalyptic number.

34674773783841 is the 5888529-th square number.

34674773783841 is the 2944265-th centered octagonal number.

It is an amenable number.

34674773783841 is a deficient number, since it is larger than the sum of its proper divisors (19475257792800).

34674773783841 is an frugal number, since it uses more digits than its factorization.

34674773783841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56952 (or 28473 counting only the distinct ones).

The product of its digits is 1593188352, while the sum is 72.

The spelling of 34674773783841 in words is "thirty-four trillion, six hundred seventy-four billion, seven hundred seventy-three million, seven hundred eighty-three thousand, eight hundred forty-one".