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3728399360 = 21057234523
BaseRepresentation
bin1101111000111010…
…1101110000000000
3100121211122022102012
43132032231300000
530113432234420
61413544312052
7161251604660
oct33616556000
910554568365
103728399360
111643647694
12880772628
1347558818a
142752541a0
1516c4c5dc5
hexde3adc00

3728399360 has 176 divisors, whose sum is σ = 10668243456. Its totient is φ = 1222459392.

The previous prime is 3728399341. The next prime is 3728399399. The reversal of 3728399360 is 639938273.

It is a junction number, because it is equal to n+sod(n) for n = 3728399299 and 3728399308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822059 + ... + 826581.

Almost surely, 23728399360 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 3728399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334121728).

3728399360 is an abundant number, since it is smaller than the sum of its proper divisors (6939844096).

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

3728399360 is a wasteful number, since it uses less digits than its factorization.

3728399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The square root of 3728399360 is about 61060.6203702517. The cubic root of 3728399360 is about 1550.6274753978.

The spelling of 3728399360 in words is "three billion, seven hundred twenty-eight million, three hundred ninety-nine thousand, three hundred sixty".