34383106691521 has 9 divisors (see below), whose sum is σ = 39996722878371. Its totient is φ = 29471199124752.

The previous prime is 34383106691441. The next prime is 34383106691569. The reversal of 34383106691521 is 12519660138343.

The square root of 34383106691521 is 5863711.

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

It can be written as a sum of positive squares in only one way, i.e., 33416550297025 + 966556394496 = 5780705^2 + 983136^2 .

It is not a de Polignac number, because 34383106691521 - 2¹⁷ = 34383106560449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34383106697521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40627141 + ... + 41464813.

It is an arithmetic number, because the mean of its divisors is an integer number (4444080319819).

Almost surely, 2^{34383106691521} is an apocalyptic number.

34383106691521 is the 5863711-st square number.

34383106691521 is the 2931856-th centered octagonal number.

It is an amenable number.

34383106691521 is a deficient number, since it is larger than the sum of its proper divisors (5613616186850).

34383106691521 is an frugal number, since it uses more digits than its factorization.

34383106691521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675360 (or 837680 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 34383106691521 in words is "thirty-four trillion, three hundred eighty-three billion, one hundred six million, six hundred ninety-one thousand, five hundred twenty-one".