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3960338064 = 243473534973
BaseRepresentation
bin1110110000001101…
…1111011010010000
3101020000002000111120
43230003133122100
531102321304224
61452551442240
7200066214054
oct35403373220
911200060446
103960338064
111752564671
12926386380
134b1645a07
14297d8bc64
15182a3d779
hexec0df690

3960338064 has 80 divisors (see below), whose sum is σ = 10480257792. Its totient is φ = 1288105984.

The previous prime is 3960338059. The next prime is 3960338077. The reversal of 3960338064 is 4608330693.

3960338064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 793882 + ... + 798854.

Almost surely, 23960338064 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 3960338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240128896).

3960338064 is an abundant number, since it is smaller than the sum of its proper divisors (6519919728).

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

3960338064 is a wasteful number, since it uses less digits than its factorization.

3960338064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3960338064 is about 62931.2169276902. The cubic root of 3960338064 is about 1582.1369983162.

The spelling of 3960338064 in words is "three billion, nine hundred sixty million, three hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 353 376 564 706 752 1059 1128 1412 2118 2256 2824 4236 4973 5648 8472 9946 14919 16591 16944 19892 29838 33182 39784 49773 59676 66364 79568 99546 119352 132728 199092 233731 238704 265456 398184 467462 701193 796368 934924 1402386 1755469 1869848 2804772 3510938 3739696 5266407 5609544 7021876 10532814 11219088 14043752 21065628 28087504 42131256 82507043 84262512 165014086 247521129 330028172 495042258 660056344 990084516 1320112688 1980169032 3960338064