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3880656 = 243313691
BaseRepresentation
bin1110110011011011010000
321022011021000
432303123100
51443140111
6215102000
744661603
oct16633320
97264230
103880656
11221065a
121371900
13a5b460
1473033a
15519c56
hex3b36d0

3880656 has 80 divisors (see below), whose sum is σ = 12013120. Its totient is φ = 1192320.

The previous prime is 3880633. The next prime is 3880661. The reversal of 3880656 is 6560883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3880656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (150164).

Almost surely, 23880656 is an apocalyptic number.

3880656 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 3880656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006560).

3880656 is an abundant number, since it is smaller than the sum of its proper divisors (8132464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3880656 is a wasteful number, since it uses less digits than its factorization.

3880656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3880656 is about 1969.9380700926. The cubic root of 3880656 is about 157.1454154641.

The spelling of 3880656 in words is "three million, eight hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 691 702 936 1382 1404 1872 2073 2764 2808 4146 5528 5616 6219 8292 8983 11056 12438 16584 17966 18657 24876 26949 33168 35932 37314 49752 53898 71864 74628 80847 99504 107796 143728 149256 161694 215592 242541 298512 323388 431184 485082 646776 970164 1293552 1940328 3880656