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3640775040 = 27345779127
BaseRepresentation
bin1101100100000001…
…1101000110000000
3100101201202112110000
43121000131012000
524424014300130
61401134240000
7156136035330
oct33100350600
910351675400
103640775040
1115a91391a1
12857356000
13460388676
142677650c0
15164968260
hexd901d180

3640775040 has 640 divisors, whose sum is σ = 15165849600. Its totient is φ = 815173632.

The previous prime is 3640775027. The next prime is 3640775069. The reversal of 3640775040 is 405770463.

3640775040 is a `hidden beast` number, since 3 + 640 + 7 + 7 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3640774986 and 3640775004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28667457 + ... + 28667583.

It is an arithmetic number, because the mean of its divisors is an integer number (23696640).

Almost surely, 23640775040 is an apocalyptic number.

3640775040 is a gapful number since it is divisible by the number (30) 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 3640775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582924800).

3640775040 is an abundant number, since it is smaller than the sum of its proper divisors (11525074560).

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

3640775040 is a wasteful number, since it uses less digits than its factorization.

3640775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3640775040 is about 60338.8352555798. The cubic root of 3640775040 is about 1538.3835064832.

The spelling of 3640775040 in words is "three billion, six hundred forty million, seven hundred seventy-five thousand, forty".