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3780 = 223357
BaseRepresentation
bin111011000100
312012000
4323010
5110110
625300
714010
oct7304
95160
103780
112927
122230
13194a
141540
1511c0
hexec4

3780 has 48 divisors (see below), whose sum is σ = 13440. Its totient is φ = 864.

The previous prime is 3779. The next prime is 3793. The reversal of 3780 is 873.

3780 divided by its sum of digits (18) gives a triangular number (210 = T20).

3780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (280).

3780 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 3780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

3780 is an abundant number, since it is smaller than the sum of its proper divisors (9660).

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

3780 is a wasteful number, since it uses less digits than its factorization.

3780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3780 is about 61.4817045958. The cubic root of 3780 is about 15.5774823056.

The spelling of 3780 in words is "three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780