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3868800 = 273521331
BaseRepresentation
bin1110110000100010000000
321021112222220
432300202000
51442300200
6214531040
744612205
oct16604200
97245886
103868800
112202761
121366a80
13a55c40
14729cac
155164a0
hex3b0880

3868800 has 192 divisors, whose sum is σ = 14165760. Its totient is φ = 921600.

The previous prime is 3868793. The next prime is 3868811. The reversal of 3868800 is 88683.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38688002 = 29935226880000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124785 + ... + 124815.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

Almost surely, 23868800 is an apocalyptic number.

3868800 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 3868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880).

3868800 is an abundant number, since it is smaller than the sum of its proper divisors (10296960).

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

3868800 is a wasteful number, since it uses less digits than its factorization.

3868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3868800 is about 1966.9265365031. The cubic root of 3868800 is about 156.9852177517.

The spelling of 3868800 in words is "three million, eight hundred sixty-eight thousand, eight hundred".