| Base | Representation |
|---|---|
| bin | 1110110100010001… |
| … | …0110011100000000 |
| 3 | 101021012001211200210 |
| 4 | 3231010112130000 |
| 5 | 31121144400142 |
| 6 | 1454400114120 |
| 7 | 200363560254 |
| oct | 35504263400 |
| 9 | 11235054623 |
| 10 | 3977340672 |
| 11 | 1761117a08 |
| 12 | 930005940 |
| 13 | 4b5019a26 |
| 14 | 29a336264 |
| 15 | 18429b49c |
| hex | ed116700 |
3977340672 has 216 divisors, whose sum is σ = 11617957008. Its totient is φ = 1203732480.
The previous prime is 3977340671. The next prime is 3977340683. The reversal of 3977340672 is 2760437793.
It is a happy number.
It is a super-3 number, since 3×39773406723 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3977340671) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12546658 + ... + 12546974.
It is an arithmetic number, because the mean of its divisors is an integer number (53786838).
Almost surely, 23977340672 is an apocalyptic number.
3977340672 is a gapful number since it is divisible by the number (32) 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 3977340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808978504).
3977340672 is an abundant number, since it is smaller than the sum of its proper divisors (7640616336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3977340672 is a wasteful number, since it uses less digits than its factorization.
3977340672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 415 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 1333584, while the sum is 48.
The square root of 3977340672 is about 63066.1610691502. The cubic root of 3977340672 is about 1584.3979206391.
The spelling of 3977340672 in words is "three billion, nine hundred seventy-seven million, three hundred forty thousand, six hundred seventy-two".
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