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3886168320 = 28335234889
BaseRepresentation
bin1110011110100010…
…0011100100000000
3101000211111210202000
43213220203210000
530424324341240
61441342024000
7165205612536
oct34750434400
911024453660
103886168320
111714705861
12905578000
1349c1772a8
1428c1a2156
1517b28c430
hexe7a23900

3886168320 has 288 divisors, whose sum is σ = 14393030400. Its totient is φ = 991051776.

The previous prime is 3886168303. The next prime is 3886168331. The reversal of 3886168320 is 238616883.

3886168320 is a `hidden beast` number, since 3 + 8 + 8 + 616 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38861683202 = 30204608422743244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792436 + ... + 797324.

It is an arithmetic number, because the mean of its divisors is an integer number (49975800).

Almost surely, 23886168320 is an apocalyptic number.

3886168320 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 3886168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196515200).

3886168320 is an abundant number, since it is smaller than the sum of its proper divisors (10506862080).

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

3886168320 is a wasteful number, since it uses less digits than its factorization.

3886168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3886168320 is about 62339.1395513284. The cubic root of 3886168320 is about 1572.1978656597.

The spelling of 3886168320 in words is "three billion, eight hundred eighty-six million, one hundred sixty-eight thousand, three hundred twenty".