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3755360961 = 341126192
BaseRepresentation
bin1101111111010110…
…0100001011000001
3100200201101002210000
43133311210023001
530142333022321
61420350230213
7162030020142
oct33765441301
910621332700
103755360961
111657892300
128897b5369
1347b0381a1
14278a71ac9
1516ea4e826
hexdfd642c1

3755360961 has 45 divisors (see below), whose sum is σ = 6176187633. Its totient is φ = 2272299480.

The previous prime is 3755360953. The next prime is 3755360971. The reversal of 3755360961 is 1690635573.

The square root of 3755360961 is 61281.

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

3755360961 is a `hidden beast` number, since 3 + 7 + 553 + 6 + 0 + 96 + 1 = 666.

It is not a de Polignac number, because 3755360961 - 23 = 3755360953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3755360941) 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 44 ways as a sum of consecutive naturals, for example, 6066510 + ... + 6067128.

Almost surely, 23755360961 is an apocalyptic number.

3755360961 is the 61281-st square number.

3755360961 is the 30641-st centered octagonal number.

It is an amenable number.

3755360961 is a deficient number, since it is larger than the sum of its proper divisors (2420826672).

3755360961 is an frugal number, since it uses more digits than its factorization.

3755360961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The cubic root of 3755360961 is about 1554.3562450065.

The spelling of 3755360961 in words is "three billion, seven hundred fifty-five million, three hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 619 891 1089 1857 3267 5571 6809 9801 16713 20427 50139 61281 74899 183843 224697 383161 551529 674091 1149483 2022273 3448449 4214771 6066819 10345347 12644313 31036041 37932939 46362481 113798817 139087443 341396451 417262329 1251786987 3755360961