| Base | Representation |
|---|---|
| bin | 110000100101001101101… |
| … | …111111011010101000000 |
| 3 | 102211011020101110000212200 |
| 4 | 300211031233323111000 |
| 5 | 414144213430422100 |
| 6 | 11033403304353200 |
| 7 | 463124664525141 |
| oct | 60451557732500 |
| 9 | 12734211400780 |
| 10 | 3338493998400 |
| 11 | 10779359117a0 |
| 12 | 45b032a75800 |
| 13 | 1b2a846ca152 |
| 14 | b78265bdac8 |
| 15 | 5bc965a6e00 |
| hex | 3094dbfb540 |
3338493998400 has 1008 divisors, whose sum is σ = 13470944018688. Its totient is φ = 777074688000.
The previous prime is 3338493998393. The next prime is 3338493998407. The reversal of 3338493998400 is 48993948333.
3338493998400 is a `hidden beast` number, since 3 + 3 + 384 + 93 + 99 + 84 + 0 + 0 = 666.
3338493998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (3338493998393) and next prime (3338493998407).
It is a super-2 number, since 2×33384939984002 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3338493998407) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394570170 + ... + 394578630.
Almost surely, 23338493998400 is an apocalyptic number.
3338493998400 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 3338493998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735472009344).
3338493998400 is an abundant number, since it is smaller than the sum of its proper divisors (10132450020288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3338493998400 is a wasteful number, since it uses less digits than its factorization.
3338493998400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8600 (or 8582 counting only the distinct ones).
The product of its (nonzero) digits is 60466176, while the sum is 63.
The spelling of 3338493998400 in words is "three trillion, three hundred thirty-eight billion, four hundred ninety-three million, nine hundred ninety-eight thousand, four hundred".
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