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3685665368 = 2371153791429
BaseRepresentation
bin1101101110101110…
…1100101001011000
3100111212020012101202
43123223230221120
530022012242433
61405420333332
7160222432040
oct33353545130
910455205352
103685665368
111621509a40
1286a3a4248
134697750a8
1426d6cc720
15168883ee8
hexdbaeca58

3685665368 has 128 divisors (see below), whose sum is σ = 8895744000. Its totient is φ = 1390072320.

The previous prime is 3685665359. The next prime is 3685665409. The reversal of 3685665368 is 8635665863.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578478 + ... + 2579906.

It is an arithmetic number, because the mean of its divisors is an integer number (69498000).

Almost surely, 23685665368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685665368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447872000).

3685665368 is an abundant number, since it is smaller than the sum of its proper divisors (5210078632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3685665368 is a wasteful number, since it uses less digits than its factorization.

3685665368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The square root of 3685665368 is about 60709.6810072331. The cubic root of 3685665368 is about 1544.6803928982.

The spelling of 3685665368 in words is "three billion, six hundred eighty-five million, six hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 79 88 106 154 158 212 308 316 371 424 553 583 616 632 742 869 1106 1166 1429 1484 1738 2212 2332 2858 2968 3476 4081 4187 4424 4664 5716 6083 6952 8162 8374 10003 11432 12166 15719 16324 16748 20006 24332 29309 31438 32648 33496 40012 46057 48664 58618 62876 75737 80024 92114 110033 112891 117236 125752 151474 184228 220066 225782 234472 302948 322399 368456 440132 451564 530159 605896 644798 790237 833107 880264 903128 1060318 1241801 1289596 1580474 1666214 2120636 2483602 2579192 3160948 3332428 4241272 4967204 5831749 5983223 6321896 6664856 8692607 9934408 11663498 11966446 17385214 23326996 23932892 34770428 41882561 46653992 47865784 65815453 69540856 83765122 131630906 167530244 263261812 335060488 460708171 526523624 921416342 1842832684 3685665368