3400 has 24 divisors (see below), whose sum is σ = 8370. Its totient is φ = 1280.

The previous prime is 3391. The next prime is 3407. The reversal of 3400 is 43.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 484 = 54^2 + 22^2 .

3400 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407) by changing a digit.

3400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192 + ... + 208.

2³⁴⁰⁰ is an apocalyptic number.

3400 is the 34-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185).

3400 is an abundant number, since it is smaller than the sum of its proper divisors (4970).

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

3400 is a wasteful number, since it uses less digits than its factorization.

3400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 3400 is about 58.3095189485. The cubic root of 3400 is about 15.0369459620.

Adding to 3400 its reverse (43), we get a palindrome (3443).

The spelling of 3400 in words is "three thousand, four hundred", and thus it is an iban number.