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3781216608 = 2531325112071
BaseRepresentation
bin1110000101100000…
…1100100101100000
3100202112000201001120
43201120030211200
530220442412413
61423112332240
7162462545061
oct34130144540
910675021046
103781216608
111670442004
128963a4080
134834bb9a0
1427c282568
15171e5a723
hexe160c960

3781216608 has 96 divisors (see below), whose sum is σ = 10732684032. Its totient is φ = 1158720000.

The previous prime is 3781216601. The next prime is 3781216609. The reversal of 3781216608 is 8066121873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3781216608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781216601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307213 + ... + 319283.

It is an arithmetic number, because the mean of its divisors is an integer number (111798792).

Almost surely, 23781216608 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 3781216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366342016).

3781216608 is an abundant number, since it is smaller than the sum of its proper divisors (6951467424).

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

3781216608 is a wasteful number, since it uses less digits than its factorization.

3781216608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3781216608 is about 61491.5978650742. The cubic root of 3781216608 is about 1557.9153351120.

The spelling of 3781216608 in words is "three billion, seven hundred eighty-one million, two hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 251 312 416 502 624 753 1004 1248 1506 2008 3012 3263 4016 6024 6526 8032 9789 12048 12071 13052 19578 24096 24142 26104 36213 39156 48284 52208 72426 78312 96568 104416 144852 156624 156923 193136 289704 313248 313846 386272 470769 579408 627692 941538 1158816 1255384 1883076 2510768 3029821 3766152 5021536 6059642 7532304 9089463 12119284 15064608 18178926 24238568 36357852 39387673 48477136 72715704 78775346 96954272 118163019 145431408 157550692 236326038 290862816 315101384 472652076 630202768 945304152 1260405536 1890608304 3781216608