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3386869734276 = 2236717193173227
BaseRepresentation
bin110001010010010001001…
…010101101101110000100
3102222210002202221001000000
4301102101022231232010
5420442302122444101
611111523444321300
7466456534512030
oct61222112555604
912883082831000
103386869734276
1110963aa7400a6
124684939a3230
131b74c3ab9b32
14b9cd53011c0
155d178558486
hex314912adb84

3386869734276 has 1344 divisors, whose sum is σ = 11896719851520. Its totient is φ = 819921346560.

The previous prime is 3386869734223. The next prime is 3386869734277. The reversal of 3386869734276 is 6724379686833.

3386869734276 is a `hidden beast` number, since 3 + 38 + 6 + 86 + 97 + 3 + 427 + 6 = 666.

It is a super-2 number, since 2×33868697342762 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3386869734277) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14920130875 + ... + 14920131101.

It is an arithmetic number, because the mean of its divisors is an integer number (8851726080).

Almost surely, 23386869734276 is an apocalyptic number.

3386869734276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386869734276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948359925760).

3386869734276 is an abundant number, since it is smaller than the sum of its proper divisors (8509850117244).

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

3386869734276 is a wasteful number, since it uses less digits than its factorization.

3386869734276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 3386869734276 in words is "three trillion, three hundred eighty-six billion, eight hundred sixty-nine million, seven hundred thirty-four thousand, two hundred seventy-six".