| Base | Representation |
|---|---|
| bin | 1110110010001100… |
| … | …0000000011100000 |
| 3 | 101020120121200100000 |
| 4 | 3230203000003200 |
| 5 | 31111430120430 |
| 6 | 1453444500000 |
| 7 | 200226346155 |
| oct | 35443000340 |
| 9 | 11216550300 |
| 10 | 3968598240 |
| 11 | 1757196662 |
| 12 | 9290aa600 |
| 13 | 4b32786a9 |
| 14 | 2990dc22c |
| 15 | 183620e60 |
| hex | ec8c00e0 |
3968598240 has 288 divisors, whose sum is σ = 14195091456. Its totient is φ = 1046960640.
The previous prime is 3968598209. The next prime is 3968598241. The reversal of 3968598240 is 428958693.
3968598240 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 598 + 2 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
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 (3968598241) 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 47 ways as a sum of consecutive naturals, for example, 4004145 + ... + 4005135.
It is an arithmetic number, because the mean of its divisors is an integer number (49288512).
Almost surely, 23968598240 is an apocalyptic number.
3968598240 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 3968598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097545728).
3968598240 is an abundant number, since it is smaller than the sum of its proper divisors (10226493216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3968598240 is a wasteful number, since it uses less digits than its factorization.
3968598240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1124 (or 1104 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The square root of 3968598240 is about 62996.8113478770. The cubic root of 3968598240 is about 1583.2362020070.
The spelling of 3968598240 in words is "three billion, nine hundred sixty-eight million, five hundred ninety-eight thousand, two hundred forty".
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