| Base | Representation |
|---|---|
| bin | 1110001010010110… |
| … | …1100001000000000 |
| 3 | 100210221020210000000 |
| 4 | 3202211230020000 |
| 5 | 30241142442010 |
| 6 | 1425120000000 |
| 7 | 163130323260 |
| oct | 34245541000 |
| 9 | 10727223000 |
| 10 | 3801530880 |
| 11 | 1680957464 |
| 12 | 8a1160000 |
| 13 | 487782174 |
| 14 | 280c4d7a0 |
| 15 | 173b1e7c0 |
| hex | e296c200 |
3801530880 has 640 divisors, whose sum is σ = 15783989760. Its totient is φ = 859963392.
The previous prime is 3801530869. The next prime is 3801530881. The reversal of 3801530880 is 880351083.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-3 number, since 3×38015308803 (a number of 30 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3801530881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190992 + ... + 39191088.
It is an arithmetic number, because the mean of its divisors is an integer number (24662484).
Almost surely, 23801530880 is an apocalyptic number.
3801530880 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 3801530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891994880).
3801530880 is an abundant number, since it is smaller than the sum of its proper divisors (11982458880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3801530880 is an frugal number, since it uses more digits than its factorization.
3801530880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 3801530880 is about 61656.5558558050. Note that the first 3 decimals coincide. The cubic root of 3801530880 is about 1560.7002773175.
The spelling of 3801530880 in words is "three billion, eight hundred one million, five hundred thirty thousand, eight hundred eighty".
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