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3694045824 = 27347232213
BaseRepresentation
bin1101110000101110…
…1010101010000000
3100112102222222020000
43130023222222000
530031133431244
61410320120000
7160353604620
oct33413525200
910472888200
103694045824
111626213337
12871166000
1346b41a741
14270870880
1516948c169
hexdc2eaa80

3694045824 has 320 divisors, whose sum is σ = 13116090240. Its totient is φ = 1009096704.

The previous prime is 3694045799. The next prime is 3694045829. The reversal of 3694045824 is 4285404963.

3694045824 is a `hidden beast` number, since 3 + 69 + 4 + 0 + 4 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3694045824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3694045829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1668142 + ... + 1670354.

It is an arithmetic number, because the mean of its divisors is an integer number (40987782).

Almost surely, 23694045824 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 3694045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558045120).

3694045824 is an abundant number, since it is smaller than the sum of its proper divisors (9422044416).

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

3694045824 is a wasteful number, since it uses less digits than its factorization.

3694045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3694045824 is about 60778.6625716624. The cubic root of 3694045824 is about 1545.8502700320.

The spelling of 3694045824 in words is "three billion, six hundred ninety-four million, forty-five thousand, eight hundred twenty-four".