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3856479968 = 2511127281307
BaseRepresentation
bin1110010111011101…
…0011011011100000
3100221202122110222102
43211313103123200
530344224324333
61434401425532
7164365352555
oct34567233340
910852573872
103856479968
1116a9978530
128b763b2a8
13495c81113
14288274a2c
15178875ae8
hexe5dd36e0

3856479968 has 96 divisors (see below), whose sum is σ = 8404881408. Its totient is φ = 1727308800.

The previous prime is 3856479961. The next prime is 3856479997. The reversal of 3856479968 is 8699746583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856479961) 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, 12561671 + ... + 12561977.

It is an arithmetic number, because the mean of its divisors is an integer number (87550848).

Almost surely, 23856479968 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 3856479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202440704).

3856479968 is an abundant number, since it is smaller than the sum of its proper divisors (4548401440).

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

3856479968 is a wasteful number, since it uses less digits than its factorization.

3856479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 65.

The square root of 3856479968 is about 62100.5633468812. The cubic root of 3856479968 is about 1568.1840293167.

The spelling of 3856479968 in words is "three billion, eight hundred fifty-six million, four hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 281 307 352 508 562 614 1016 1124 1228 1397 2032 2248 2456 2794 3091 3377 4064 4496 4912 5588 6182 6754 8992 9824 11176 12364 13508 22352 24728 27016 35687 38989 44704 49456 54032 71374 77978 86267 98912 108064 142748 155956 172534 285496 311912 345068 392557 428879 570992 623824 690136 785114 857758 948937 1141984 1247648 1380272 1570228 1715516 1897874 2760544 3140456 3431032 3795748 6280912 6862064 7591496 10955909 12561824 13724128 15182992 21911818 30365984 43823636 87647272 120514999 175294544 241029998 350589088 482059996 964119992 1928239984 3856479968