| Base | Representation |
|---|---|
| bin | 1100100101011010… |
| … | …1111001101100000 |
| 3 | 22201102122101002100 |
| 4 | 3021112233031200 |
| 5 | 23404303242320 |
| 6 | 1315114050400 |
| 7 | 146500031040 |
| oct | 31126571540 |
| 9 | 8642571070 |
| 10 | 3378180960 |
| 11 | 14839933a0 |
| 12 | 7a3419a00 |
| 13 | 41ab5675b |
| 14 | 24092b720 |
| 15 | 14b897790 |
| hex | c95af360 |
3378180960 has 288 divisors, whose sum is σ = 14373096192. Its totient is φ = 701936640.
The previous prime is 3378180931. The next prime is 3378180983. The reversal of 3378180960 is 690818733.
It is a happy number.
3378180960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×33781809602 = 22824213197013043200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95647 + ... + 126113.
It is an arithmetic number, because the mean of its divisors is an integer number (49906584).
Almost surely, 23378180960 is an apocalyptic number.
3378180960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3378180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186548096).
3378180960 is an abundant number, since it is smaller than the sum of its proper divisors (10994915232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3378180960 is a wasteful number, since it uses less digits than its factorization.
3378180960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30506 (or 30495 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 3378180960 is about 58122.1210899946. The cubic root of 3378180960 is about 1500.4711053577.
The spelling of 3378180960 in words is "three billion, three hundred seventy-eight million, one hundred eighty thousand, nine hundred sixty".
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