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3685326336 = 2935191559
BaseRepresentation
bin1101101110101001…
…1001111000000000
3100111211120222100000
43123222121320000
530021420420321
61405405200000
7160216520436
oct33352317000
910454528300
103685326336
1116212a824a
1286a260000
13469686993
1426d640d56
15168818826
hexdba99e00

3685326336 has 240 divisors, whose sum is σ = 11618006400. Its totient is φ = 1163040768.

The previous prime is 3685326331. The next prime is 3685326341. The reversal of 3685326336 is 6336235863.

3685326336 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 3 + 2 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3685326331) and next prime (3685326341).

It is a junction number, because it is equal to n+sod(n) for n = 3685326291 and 3685326300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685326331) 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, 2363125 + ... + 2364683.

It is an arithmetic number, because the mean of its divisors is an integer number (48408360).

Almost surely, 23685326336 is an apocalyptic number.

3685326336 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 3685326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809003200).

3685326336 is an abundant number, since it is smaller than the sum of its proper divisors (7932680064).

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

3685326336 is an equidigital number, since it uses as much as digits as its factorization.

3685326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1583 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3685326336 is about 60706.8887030129. Note that the first 3 decimals coincide. The cubic root of 3685326336 is about 1544.6330281224.

The spelling of 3685326336 in words is "three billion, six hundred eighty-five million, three hundred twenty-six thousand, three hundred thirty-six".