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3685440444 = 2237241307593
BaseRepresentation
bin1101101110101011…
…0101101110111100
3100111211210202212020
43123222311232330
530021433043234
61405411440140
7160220504220
oct33352655674
910454722766
103685440444
111621375a54
1286a2b6050
134696c68ba
1426d670780
1516883c549
hexdbab5bbc

3685440444 has 96 divisors (see below), whose sum is σ = 9917462016. Its totient is φ = 1043435520.

The previous prime is 3685440439. The next prime is 3685440449. The reversal of 3685440444 is 4440445863.

It is an interprime number because it is at equal distance from previous prime (3685440439) and next prime (3685440449).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3685440396 and 3685440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685440449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6214612 + ... + 6215204.

It is an arithmetic number, because the mean of its divisors is an integer number (103306896).

Almost surely, 23685440444 is an apocalyptic number.

It is an amenable number.

3685440444 is an abundant number, since it is smaller than the sum of its proper divisors (6232021572).

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

3685440444 is a wasteful number, since it uses less digits than its factorization.

3685440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The square root of 3685440444 is about 60707.8285231814. The cubic root of 3685440444 is about 1544.6489700093.

The spelling of 3685440444 in words is "three billion, six hundred eighty-five million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 307 482 593 614 723 921 964 1186 1228 1446 1687 1779 1842 2149 2372 2892 3374 3558 3684 4151 4298 5061 6447 6748 7116 8302 8596 10122 12453 12894 16604 20244 24906 25788 49812 73987 142913 147974 182051 221961 285826 295948 364102 428739 443922 517909 546153 571652 728204 857478 887844 1000391 1035818 1092306 1274357 1553727 1714956 2000782 2071636 2184612 2548714 3001173 3107454 3823071 4001564 5097428 6002346 6214908 7646142 12004692 15292284 43874291 87748582 131622873 175497164 263245746 307120037 526491492 614240074 921360111 1228480148 1842720222 3685440444