3456 has 32 divisors (see below), whose sum is σ = 10200. Its totient is φ = 1152.

The previous prime is 3449. The next prime is 3457. The reversal of 3456 is 6543.

Adding to 3456 its reverse (6543), we get a palindrome (9999).

It can be divided in two parts, 345 and 6, that added together give a triangular number (351 = T_{26}).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ 3!.

3456 is nontrivially palindromic in base 11.

3456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (360) is a multiple of the sum of its prime divisors (5).

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 8, base 12 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1151 + 1152 + 1153.

3456 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 3456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100).

3456 is an abundant number, since it is smaller than the sum of its proper divisors (6744).

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

3456 is an equidigital number, since it uses as much as digits as its factorization.

3456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 5 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 3456 is about 58.7877538268. The cubic root of 3456 is about 15.1190525987.

The spelling of 3456 in words is "three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456

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