34628776082884 has 81 divisors (see below), whose sum is σ = 63703085258631. Its totient is φ = 16470350823360.

The previous prime is 34628776082833. The next prime is 34628776082891. The reversal of 34628776082884 is 48828067782643.

The square root of 34628776082884 is 5884622.

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 7912282642884 + 26716493440000 = 2812878^2 + 5168800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24232872682 + ... + 24232874110.

Almost surely, 2^{34628776082884} is an apocalyptic number.

34628776082884 is the 5884622-nd square number.

It is an amenable number.

34628776082884 is a deficient number, since it is larger than the sum of its proper divisors (29074309175747).

34628776082884 is an frugal number, since it uses more digits than its factorization.

34628776082884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 73.

The spelling of 34628776082884 in words is "thirty-four trillion, six hundred twenty-eight billion, seven hundred seventy-six million, eighty-two thousand, eight hundred eighty-four".