3414440200 has 96 divisors (see below), whose sum is σ = 8135137800. Its totient is φ = 1332264960.

The previous prime is 3414440111. The next prime is 3414440203. The reversal of 3414440200 is 20444143.

It can be written as a sum of positive squares in 12 ways, for example, as 203404644 + 3211035556 = 14262^2 + 56666^2 .

It is not an unprimeable number, because it can be changed into a prime (3414440203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044966 + ... + 2046634.

Almost surely, 2^3414440200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067568900).

3414440200 is an abundant number, since it is smaller than the sum of its proper divisors (4720697600).

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

3414440200 is a wasteful number, since it uses less digits than its factorization.

3414440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3414440200 is about 58433.2114469160. The cubic root of 3414440200 is about 1505.8203788414.

Adding to 3414440200 its reverse (20444143), we get a palindrome (3434884343).

The spelling of 3414440200 in words is "three billion, four hundred fourteen million, four hundred forty thousand, two hundred".