3400200 has 72 divisors (see below), whose sum is σ = 11425050. Its totient is φ = 906240.

The previous prime is 3400193. The next prime is 3400207. The reversal of 3400200 is 20043.

It is an interprime number because it is at equal distance from previous prime (3400193) and next prime (3400207).

It can be written as a sum of positive squares in 3 ways, for example, as 2490084 + 910116 = 1578^2 + 954^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3400200² = 23122720080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 856 + ... + 2744.

Almost surely, 2^3400200 is an apocalyptic number.

3400200 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 3400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712525).

3400200 is an abundant number, since it is smaller than the sum of its proper divisors (8024850).

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

3400200 is a wasteful number, since it uses less digits than its factorization.

3400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3400200 is about 1843.9631232755. The cubic root of 3400200 is about 150.3724079835.

Adding to 3400200 its reverse (20043), we get a palindrome (3420243).

It can be divided in two parts, 3400 and 200, that added together give a square (3600 = 60²).

The spelling of 3400200 in words is "three million, four hundred thousand, two hundred".