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3880576 = 2776171
BaseRepresentation
bin1110110011011010000000
321022011011001
432303122000
51443134301
6215101344
744661430
oct16633200
97264131
103880576
112210597
121371854
13a5b3cb
147302c0
15519c01
hex3b3680

3880576 has 64 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 1612800.

The previous prime is 3880567. The next prime is 3880589. The reversal of 3880576 is 6750883.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54621 + ... + 54691.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 23880576 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 3880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3880576 is an abundant number, since it is smaller than the sum of its proper divisors (5225984).

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

3880576 is an equidigital number, since it uses as much as digits as its factorization.

3880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3880576 is about 1969.9177647811. The cubic root of 3880576 is about 157.1443356020.

The spelling of 3880576 in words is "three million, eight hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 71 112 122 128 142 224 244 284 427 448 488 497 568 854 896 976 994 1136 1708 1952 1988 2272 3416 3904 3976 4331 4544 6832 7808 7952 8662 9088 13664 15904 17324 27328 30317 31808 34648 54656 60634 63616 69296 121268 138592 242536 277184 485072 554368 970144 1940288 3880576