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3728920338 = 23211131448687
BaseRepresentation
bin1101111001000010…
…1100111100010010
3100121212121210001200
43132100230330102
530114100422323
61414003412030
7161256204603
oct33620547422
910555553050
103728920338
111643973050
12880984016
1347570b350
1427534bdaa
1516c57a443
hexde42cf12

3728920338 has 48 divisors (see below), whose sum is σ = 9491803776. Its totient is φ = 1043053920.

The previous prime is 3728920337. The next prime is 3728920399. The reversal of 3728920338 is 8330298273.

It is a happy number.

3728920338 is a `hidden beast` number, since 37 + 289 + 2 + 0 + 338 = 666.

3728920338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3728920293 and 3728920302.

It is not an unprimeable number, because it can be changed into a prime (3728920331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721770 + ... + 726917.

It is an arithmetic number, because the mean of its divisors is an integer number (197745912).

Almost surely, 23728920338 is an apocalyptic number.

3728920338 is an abundant number, since it is smaller than the sum of its proper divisors (5762883438).

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

3728920338 is a wasteful number, since it uses less digits than its factorization.

3728920338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448719 (or 1448716 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3728920338 is about 61064.8862931882. The cubic root of 3728920338 is about 1550.6996963072.

The spelling of 3728920338 in words is "three billion, seven hundred twenty-eight million, nine hundred twenty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 1448687 2897374 4346061 8692122 13038183 15935557 18832931 26076366 31871114 37665862 47806671 56498793 95613342 112997586 143420013 169496379 207162241 286840026 338992758 414324482 621486723 1242973446 1864460169 3728920338