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3878268660 = 223457248857
BaseRepresentation
bin1110011100101001…
…1010111011110100
3101000021122110110000
43213022122323310
530420314044120
61440500431300
7165051511500
oct34712327364
911007573400
103878268660
1117101aa712
129029a8530
1349a63c736
1428b107300
1517a72b990
hexe729aef4

3878268660 has 180 divisors, whose sum is σ = 14152892292. Its totient is φ = 886443264.

The previous prime is 3878268649. The next prime is 3878268673. The reversal of 3878268660 is 668628783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3045715344 + 832553316 = 55188^2 + 28854^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3878268597 and 3878268606.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 54952 + ... + 103808.

Almost surely, 23878268660 is an apocalyptic number.

3878268660 is a gapful number since it is divisible by the number (30) 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 3878268660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076446146).

3878268660 is an abundant number, since it is smaller than the sum of its proper divisors (10274623632).

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

3878268660 is a wasteful number, since it uses less digits than its factorization.

3878268660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48892 (or 48874 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3878268660 is about 62275.7469646089. The cubic root of 3878268660 is about 1571.1318410129.

The spelling of 3878268660 in words is "three billion, eight hundred seventy-eight million, two hundred sixty-eight thousand, six hundred sixty".