| Base | Representation |
|---|---|
| bin | 1110011011010101… |
| … | …0010001110000000 |
| 3 | 100222220012222000000 |
| 4 | 3212311102032000 |
| 5 | 30412404243221 |
| 6 | 1440142000000 |
| 7 | 164653434000 |
| oct | 34665221600 |
| 9 | 10886188000 |
| 10 | 3872727936 |
| 11 | 1708065900 |
| 12 | 900b76000 |
| 13 | 49944c7bc |
| 14 | 28a4a4000 |
| 15 | 179ed4e26 |
| hex | e6d52380 |
3872727936 has 672 divisors, whose sum is σ = 14827638000. Its totient is φ = 1005903360.
The previous prime is 3872727931. The next prime is 3872727983. The reversal of 3872727936 is 6397272783.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3872727931) by changing a digit.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 352066171 + ... + 352066181.
Almost surely, 23872727936 is an apocalyptic number.
3872727936 is a gapful number since it is divisible by the number (36) 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 3872727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413819000).
3872727936 is an abundant number, since it is smaller than the sum of its proper divisors (10954910064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3872727936 is an frugal number, since it uses more digits than its factorization.
3872727936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 23 counting only the distinct ones).
The product of its digits is 5334336, while the sum is 54.
The square root of 3872727936 is about 62231.2456568242. The cubic root of 3872727936 is about 1570.3832804612.
The spelling of 3872727936 in words is "three billion, eight hundred seventy-two million, seven hundred twenty-seven thousand, nine hundred thirty-six".
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