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3738466449 = 328922292
BaseRepresentation
bin1101111011010100…
…0111100010010001
3100122112120202212100
43132311013202101
530124021411244
61414544151013
7161433304044
oct33665074221
910575522770
103738466449
1116492a31a3
12884008469
134776a1433
14276714c5b
1516d313b69
hexded47891

3738466449 has 27 divisors (see below), whose sum is σ = 5485315953. Its totient is φ = 2453546304.

The previous prime is 3738466423. The next prime is 3738466499. The reversal of 3738466449 is 9446648373.

The square root of 3738466449 is 61143.

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 131262849 + 3607203600 = 11457^2 + 60060^2 .

It is not a de Polignac number, because 3738466449 - 27 = 3738466321 is a prime.

It is a super-2 number, since 2×37384664492 = 27952262780597339202, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3738466395 and 3738466404.

It is not an unprimeable number, because it can be changed into a prime (3738466499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16325067 + ... + 16325295.

Almost surely, 23738466449 is an apocalyptic number.

3738466449 is the 61143-rd square number.

3738466449 is the 30572-nd centered octagonal number.

It is an amenable number.

3738466449 is a deficient number, since it is larger than the sum of its proper divisors (1746849504).

3738466449 is an frugal number, since it uses more digits than its factorization.

3738466449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The cubic root of 3738466449 is about 1552.0218428359.

The spelling of 3738466449 in words is "three billion, seven hundred thirty-eight million, four hundred sixty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 89 229 267 687 801 2061 7921 20381 23763 52441 61143 71289 157323 183429 471969 1813909 4667249 5441727 14001747 16325181 42005241 415385161 1246155483 3738466449