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3749000641 is a prime number
BaseRepresentation
bin1101111101110101…
…0011010111000001
3100200021101222001121
43133131103113001
530134221010031
61420002032241
7161621660011
oct33735232701
910607358047
103749000641
111654238741
12887648681
1347991c199
14277c97c41
1516e1e5011
hexdf7535c1

3749000641 has 2 divisors, whose sum is σ = 3749000642. Its totient is φ = 3749000640.

The previous prime is 3749000639. The next prime is 3749000659. The reversal of 3749000641 is 1460009473.

3749000641 = 432952 + 432962.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1874543616 + 1874457025 = 43296^2 + 43295^2 .

It is a cyclic number.

It is not a de Polignac number, because 3749000641 - 21 = 3749000639 is a prime.

Together with 3749000639, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3749000597 and 3749000606.

It is not a weakly prime, because it can be changed into another prime (3749000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1874500320 + 1874500321.

It is an arithmetic number, because the mean of its divisors is an integer number (1874500321).

Almost surely, 23749000641 is an apocalyptic number.

3749000641 is the 43296-th centered square number.

It is an amenable number.

3749000641 is a deficient number, since it is larger than the sum of its proper divisors (1).

3749000641 is an equidigital number, since it uses as much as digits as its factorization.

3749000641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3749000641 is about 61229.0832938074. The cubic root of 3749000641 is about 1553.4782300145.

The spelling of 3749000641 in words is "three billion, seven hundred forty-nine million, six hundred forty-one", and thus it is an aban number.