| Base | Representation |
|---|---|
| bin | 1100111111011001… |
| … | …0110100000000000 |
| 3 | 100000000122122100000 |
| 4 | 3033312112200000 |
| 5 | 24120201203043 |
| 6 | 1334005200000 |
| 7 | 152262062400 |
| oct | 31766264000 |
| 9 | 10000578300 |
| 10 | 3487131648 |
| 11 | 152a438690 |
| 12 | 813a00000 |
| 13 | 4375b2310 |
| 14 | 2511ac800 |
| 15 | 1562192d3 |
| hex | cfd96800 |
3487131648 has 864 divisors, whose sum is σ = 14273794080. Its totient is φ = 836075520.
The previous prime is 3487131643. The next prime is 3487131649. The reversal of 3487131648 is 8461317843.
3487131648 is a `hidden beast` number, since 3 + 487 + 1 + 3 + 164 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
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.
Its product of digits (387072) is a multiple of the sum of its prime divisors (36).
It is not an unprimeable number, because it can be changed into a prime (3487131643) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268240890 + ... + 268240902.
It is an arithmetic number, because the mean of its divisors is an integer number (16520595).
Almost surely, 23487131648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3487131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).
3487131648 is an abundant number, since it is smaller than the sum of its proper divisors (10786662432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3487131648 is a wasteful number, since it uses less digits than its factorization.
3487131648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 36 counting only the distinct ones).
The product of its digits is 387072, while the sum is 45.
The square root of 3487131648 is about 59051.9402560153. The cubic root of 3487131648 is about 1516.4314438626.
3487131648 divided by its product of digits (387072) gives a palindrome (9009).
The spelling of 3487131648 in words is "three billion, four hundred eighty-seven million, one hundred thirty-one thousand, six hundred forty-eight".
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