| Base | Representation |
|---|---|
| bin | 110001010011111010110… |
| … | …111100111100000000000 |
| 3 | 102222221200100212000020000 |
| 4 | 301103322313213200000 |
| 5 | 421004420114103320 |
| 6 | 11112415434120000 |
| 7 | 466551510132210 |
| oct | 61237267474000 |
| 9 | 12887610760200 |
| 10 | 3388643112960 |
| 11 | 109712a771816 |
| 12 | 4688a9880000 |
| 13 | 1b7717318a31 |
| 14 | ba022a48240 |
| 15 | 5d22e0a3c90 |
| hex | 314fade7800 |
3388643112960 has 1920 divisors, whose sum is σ = 14594476216320. Its totient is φ = 735746457600.
The previous prime is 3388643112919. The next prime is 3388643113057. The reversal of 3388643112960 is 692113468833.
3388643112960 is a `hidden beast` number, since 3 + 3 + 8 + 86 + 431 + 129 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×33886431129602 (a number of 26 digits) contains 22 as substring.
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 = 3388643112897 and 3388643112906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12059228020 + ... + 12059228300.
It is an arithmetic number, because the mean of its divisors is an integer number (7601289696).
Almost surely, 23388643112960 is an apocalyptic number.
3388643112960 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 3388643112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297238108160).
3388643112960 is an abundant number, since it is smaller than the sum of its proper divisors (11205833103360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3388643112960 is a wasteful number, since it uses less digits than its factorization.
3388643112960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 425 (or 396 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 3388643112960 in words is "three trillion, three hundred eighty-eight billion, six hundred forty-three million, one hundred twelve thousand, nine hundred sixty".
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