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3682379904 = 27374133413
BaseRepresentation
bin1101101101111100…
…1010100010000000
3100111122001021120220
43123133022202000
530020142124104
61405222103040
7160152466320
oct33337124200
910448037526
103682379904
11161a675585
1286927aa80
13468b94828
1426d0b5280
151684357d9
hexdb7ca880

3682379904 has 128 divisors (see below), whose sum is σ = 11451646080. Its totient is φ = 1026416640.

The previous prime is 3682379867. The next prime is 3682379917. The reversal of 3682379904 is 4099732863.

It is a tau number, because it is divible by the number of its divisors (128).

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, 93502 + ... + 126914.

It is an arithmetic number, because the mean of its divisors is an integer number (89465985).

Almost surely, 23682379904 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 3682379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725823040).

3682379904 is an abundant number, since it is smaller than the sum of its proper divisors (7769266176).

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

3682379904 is a wasteful number, since it uses less digits than its factorization.

3682379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33478 (or 33466 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3682379904 is about 60682.6161598196. The cubic root of 3682379904 is about 1544.2212717680.

The spelling of 3682379904 in words is "three billion, six hundred eighty-two million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 5248 6888 7872 9184 13776 15744 18368 27552 33413 36736 55104 66826 100239 110208 133652 200478 233891 267304 400956 467782 534608 701673 801912 935564 1069216 1369933 1403346 1603824 1871128 2138432 2739866 2806692 3207648 3742256 4109799 4276864 5479732 5613384 6415296 7484512 8219598 9589531 10959464 11226768 12830592 14969024 16439196 19179062 21918928 22453536 28768593 29938048 32878392 38358124 43837856 44907072 57537186 65756784 76716248 87675712 89814144 115074372 131513568 153432496 175351424 230148744 263027136 306864992 460297488 526054272 613729984 920594976 1227459968 1841189952 3682379904