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3722389216 = 257136719079
BaseRepresentation
bin1101110111011111…
…0010011011100000
3100121102022222001021
43131313302123200
530110412423331
61413211415224
7161146533460
oct33567623340
910542288037
103722389216
111640212127
1287a754514
13474262690
1427452bba0
1516bbda211
hexdddf26e0

3722389216 has 96 divisors (see below), whose sum is σ = 9154736640. Its totient is φ = 1450538496.

The previous prime is 3722389211. The next prime is 3722389219. The reversal of 3722389216 is 6129832273.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722389211) 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 in 15 ways as a sum of consecutive naturals, for example, 185565 + ... + 204643.

It is an arithmetic number, because the mean of its divisors is an integer number (95361840).

Almost surely, 23722389216 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 3722389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577368320).

3722389216 is an abundant number, since it is smaller than the sum of its proper divisors (5432347424).

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

3722389216 is a wasteful number, since it uses less digits than its factorization.

3722389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19176 (or 19168 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 3722389216 is about 61011.3859537710. The cubic root of 3722389216 is about 1549.7938284221.

The spelling of 3722389216 in words is "three billion, seven hundred twenty-two million, three hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 91 104 112 134 182 208 224 268 364 416 469 536 728 871 938 1072 1456 1742 1876 2144 2912 3484 3752 6097 6968 7504 12194 13936 15008 19079 24388 27872 38158 48776 76316 97552 133553 152632 195104 248027 267106 305264 496054 534212 610528 992108 1068424 1278293 1736189 1984216 2136848 2556586 3472378 3968432 4273696 5113172 6944756 7936864 8948051 10226344 13889512 16617809 17896102 20452688 27779024 33235618 35792204 40905376 55558048 66471236 71584408 116324663 132942472 143168816 232649326 265884944 286337632 465298652 531769888 930597304 1861194608 3722389216