| Base | Representation |
|---|---|
| bin | 1101101101100010… |
| … | …1000100000000000 |
| 3 | 100111111211021211000 |
| 4 | 3123120220200000 |
| 5 | 30014222331043 |
| 6 | 1405121252000 |
| 7 | 160132105320 |
| oct | 33330504000 |
| 9 | 10444737730 |
| 10 | 3680667648 |
| 11 | 1619706099 |
| 12 | 868794000 |
| 13 | 468715368 |
| 14 | 26cb8b280 |
| 15 | 1681e82d3 |
| hex | db628800 |
3680667648 has 384 divisors, whose sum is σ = 12847161600. Its totient is φ = 1019215872.
The previous prime is 3680667647. The next prime is 3680667649. The reversal of 3680667648 is 8467660863.
It is an interprime number because it is at equal distance from previous prime (3680667647) and next prime (3680667649).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 3680667594 and 3680667603.
It is not an unprimeable number, because it can be changed into a prime (3680667643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14321536 + ... + 14321792.
It is an arithmetic number, because the mean of its divisors is an integer number (33456150).
Almost surely, 23680667648 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 3680667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423580800).
3680667648 is an abundant number, since it is smaller than the sum of its proper divisors (9166493952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3680667648 is a wasteful number, since it uses less digits than its factorization.
3680667648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 332 (or 306 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The square root of 3680667648 is about 60668.5062285202. The cubic root of 3680667648 is about 1543.9818874445.
The spelling of 3680667648 in words is "three billion, six hundred eighty million, six hundred sixty-seven thousand, six hundred forty-eight".
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