34477433761 has 3 divisors (see below), whose sum is σ = 34477619443. Its totient is φ = 34477248080.

The previous prime is 34477433743. The next prime is 34477433923. The reversal of 34477433761 is 16733477443.

The square root of 34477433761 is 185681.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 25207595361 + 9269838400 = 158769^2 + 96280^2 .

It is not a de Polignac number, because 34477433761 - 2¹⁹ = 34476909473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34477433741) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 92841 + ... + 278521.

Almost surely, 2^34477433761 is an apocalyptic number.

34477433761 is the 185681-st square number.

34477433761 is the 92841-st centered octagonal number.

It is an amenable number.

34477433761 is a deficient number, since it is larger than the sum of its proper divisors (185682).

34477433761 is an frugal number, since it uses more digits than its factorization.

34477433761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371362 (or 185681 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 49.

Multiplying 34477433761 by its sum of digits (49), we get a square (1689394254289 = 1299767²).

The spelling of 34477433761 in words is "thirty-four billion, four hundred seventy-seven million, four hundred thirty-three thousand, seven hundred sixty-one".