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3785734836 = 22321341197297
BaseRepresentation
bin1110000110100101…
…1011101010110100
3100202211112020220100
43201221123222310
530223122003321
61423353234100
7162546133542
oct34151335264
910684466810
103785734836
111672a48684
12897a02930
134844113b0
1427cadad92
1517254e326
hexe1a5bab4

3785734836 has 72 divisors (see below), whose sum is σ = 10557021384. Its totient is φ = 1136424960.

The previous prime is 3785734831. The next prime is 3785734889. The reversal of 3785734836 is 6384375873.

3785734836 is a `hidden beast` number, since 37 + 8 + 573 + 4 + 8 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512750736 + 3272984100 = 22644^2 + 57210^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785734831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79461 + ... + 117836.

It is an arithmetic number, because the mean of its divisors is an integer number (146625297).

Almost surely, 23785734836 is an apocalyptic number.

3785734836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3785734836 is an abundant number, since it is smaller than the sum of its proper divisors (6771286548).

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

3785734836 is a wasteful number, since it uses less digits than its factorization.

3785734836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197361 (or 197356 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3785734836 is about 61528.3254769704. The cubic root of 3785734836 is about 1558.5356129754.

The spelling of 3785734836 in words is "three billion, seven hundred eighty-five million, seven hundred thirty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 9594 19188 197297 394594 591891 789188 1183782 1775673 2367564 2564861 3551346 5129722 7102692 7694583 8089177 10259444 15389166 16178354 23083749 24267531 30778332 32356708 46167498 48535062 72802593 92334996 97070124 105159301 145605186 210318602 291210372 315477903 420637204 630955806 946433709 1261911612 1892867418 3785734836