| Base | Representation |
|---|---|
| bin | 1110011101101101… |
| … | …1110101010110000 |
| 3 | 101000121001122112000 |
| 4 | 3213123132222300 |
| 5 | 30422440143100 |
| 6 | 1441140334000 |
| 7 | 165134514600 |
| oct | 34733365260 |
| 9 | 11017048460 |
| 10 | 3882740400 |
| 11 | 1712784370 |
| 12 | 9043a4300 |
| 13 | 49b546c36 |
| 14 | 28b94cc00 |
| 15 | 17ad11900 |
| hex | e76deab0 |
3882740400 has 1440 divisors, whose sum is σ = 18930931200. Its totient is φ = 745113600.
The previous prime is 3882740399. The next prime is 3882740401. The reversal of 3882740400 is 40472883.
3882740400 is a `hidden beast` number, since 388 + 274 + 0 + 4 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (3882740399) and next prime (3882740401).
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 (3882740401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133887586 + ... + 133887614.
It is an arithmetic number, because the mean of its divisors is an integer number (13146480).
Almost surely, 23882740400 is an apocalyptic number.
3882740400 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 3882740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465465600).
3882740400 is an abundant number, since it is smaller than the sum of its proper divisors (15048190800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3882740400 is a wasteful number, since it uses less digits than its factorization.
3882740400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The square root of 3882740400 is about 62311.6393621609. The cubic root of 3882740400 is about 1571.7354604092.
The spelling of 3882740400 in words is "three billion, eight hundred eighty-two million, seven hundred forty thousand, four hundred".
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