| Base | Representation |
|---|---|
| bin | 1110011100010101… |
| … | …1000110111000000 |
| 3 | 101000012011102211000 |
| 4 | 3213011120313000 |
| 5 | 30414444340230 |
| 6 | 1440412252000 |
| 7 | 165034345410 |
| oct | 34705306700 |
| 9 | 11005142730 |
| 10 | 3876949440 |
| 11 | 170a489551 |
| 12 | 902471000 |
| 13 | 49a29a130 |
| 14 | 28ac82640 |
| 15 | 17a56ab60 |
| hex | e7158dc0 |
3876949440 has 448 divisors, whose sum is σ = 16836664320. Its totient is φ = 817827840.
The previous prime is 3876949423. The next prime is 3876949441. The reversal of 3876949440 is 449496783.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3876949441) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783775 + ... + 788705.
It is an arithmetic number, because the mean of its divisors is an integer number (37581840).
Almost surely, 23876949440 is an apocalyptic number.
3876949440 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 3876949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418332160).
3876949440 is an abundant number, since it is smaller than the sum of its proper divisors (12959714880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3876949440 is a wasteful number, since it uses less digits than its factorization.
3876949440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4977 (or 4961 counting only the distinct ones).
The product of its (nonzero) digits is 5225472, while the sum is 54.
The square root of 3876949440 is about 62265.1542999774. The cubic root of 3876949440 is about 1570.9536770103.
It can be divided in two parts, 38769 and 49440, that added together give a square (88209 = 2972).
The spelling of 3876949440 in words is "three billion, eight hundred seventy-six million, nine hundred forty-nine thousand, four hundred forty".
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