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3679435764 = 22322311094007
BaseRepresentation
bin1101101101001111…
…1011101111110100
3100111102111200222200
43123103323233310
530013413421024
61405035024500
7160115454654
oct33323735764
910442450880
103679435764
111618a44604
1286829b130
134683a3734
1426c94a364
151680532c9
hexdb4fbbf4

3679435764 has 72 divisors (see below), whose sum is σ = 9716353920. Its totient is φ = 1171803072.

The previous prime is 3679435751. The next prime is 3679435777. The reversal of 3679435764 is 4675349763.

It is a happy number.

3679435764 is a `hidden beast` number, since 3 + 67 + 9 + 4 + 3 + 576 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3679435751) and next prime (3679435777).

It is a self number, because there is not a number n which added to its sum of digits gives 3679435764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916249 + ... + 920255.

It is an arithmetic number, because the mean of its divisors is an integer number (134949360).

Almost surely, 23679435764 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 3679435764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858176960).

3679435764 is an abundant number, since it is smaller than the sum of its proper divisors (6036918156).

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

3679435764 is a wasteful number, since it uses less digits than its factorization.

3679435764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5144 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The square root of 3679435764 is about 60658.3527966265. The cubic root of 3679435764 is about 1543.8096162698.

The spelling of 3679435764 in words is "three billion, six hundred seventy-nine million, four hundred thirty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1109 2218 3327 4007 4436 6654 8014 9981 12021 13308 16028 19962 24042 25507 36063 39924 48084 51014 72126 76521 92161 102028 144252 153042 184322 229563 276483 306084 368644 459126 552966 829449 918252 1105932 1658898 3317796 4443763 8887526 13331289 17775052 26662578 39993867 53325156 79987734 102206549 159975468 204413098 306619647 408826196 613239294 919858941 1226478588 1839717882 3679435764