| Base | Representation |
|---|---|
| bin | 1100011111111001… |
| … | …0000100110000000 |
| 3 | 22122210222222210100 |
| 4 | 3013332100212000 |
| 5 | 23332334040010 |
| 6 | 1312525002400 |
| 7 | 146065626600 |
| oct | 30776204600 |
| 9 | 8583888710 |
| 10 | 3354986880 |
| 11 | 1471891333 |
| 12 | 7976b3400 |
| 13 | 4160c554b |
| 14 | 23b810c00 |
| 15 | 1498152c0 |
| hex | c7f90980 |
3354986880 has 288 divisors, whose sum is σ = 13477782240. Its totient is φ = 766789632.
The previous prime is 3354986861. The next prime is 3354986881. The reversal of 3354986880 is 886894533.
It is a happy number.
3354986880 is a `hidden beast` number, since 33 + 549 + 8 + 68 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×33549868802 = 22511873929944268800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3354986881) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276297 + ... + 288183.
It is an arithmetic number, because the mean of its divisors is an integer number (46797855).
Almost surely, 23354986880 is an apocalyptic number.
3354986880 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 3354986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738891120).
3354986880 is an abundant number, since it is smaller than the sum of its proper divisors (10122795360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3354986880 is a wasteful number, since it uses less digits than its factorization.
3354986880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11926 (or 11904 counting only the distinct ones).
The product of its (nonzero) digits is 4976640, while the sum is 54.
The square root of 3354986880 is about 57922.2485751373. The cubic root of 3354986880 is about 1497.0292135027.
It can be divided in two parts, 335498 and 6880, that added together give a triangular number (342378 = T827).
The spelling of 3354986880 in words is "three billion, three hundred fifty-four million, nine hundred eighty-six thousand, eight hundred eighty".
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