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3640340963840 = 295723101157557
BaseRepresentation
bin110100111110010101001…
…110101110001000000000
3110220000100121202121220012
4310332111032232020000
5434120404241320330
611424203300404052
7524002020433430
oct64762516561000
913800317677805
103640340963840
111183950630509
124a96329a6628
1320538a080bc9
14c829cb422c0
1564a60e99c95
hex34f953ae200

3640340963840 has 640 divisors, whose sum is σ = 10597893977088. Its totient is φ = 1172393164800.

The previous prime is 3640340963813. The next prime is 3640340963999. The reversal of 3640340963840 is 483690430463.

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

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 6535620842 + ... + 6535621398.

Almost surely, 23640340963840 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 3640340963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298946988544).

3640340963840 is an abundant number, since it is smaller than the sum of its proper divisors (6957553013248).

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

3640340963840 is a wasteful number, since it uses less digits than its factorization.

3640340963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 3640340963840 in words is "three trillion, six hundred forty billion, three hundred forty million, nine hundred sixty-three thousand, eight hundred forty".