3434442400 has 72 divisors (see below), whose sum is σ = 8542632924. Its totient is φ = 1347840000.

The previous prime is 3434442383. The next prime is 3434442419. The reversal of 3434442400 is 42444343.

3434442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2338302736 + 1096139664 = 48356^2 + 33108^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900 + ... + 82900.

Almost surely, 2^3434442400 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 3434442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271316462).

3434442400 is an abundant number, since it is smaller than the sum of its proper divisors (5108190524).

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

3434442400 is a wasteful number, since it uses less digits than its factorization.

3434442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81074 (or 81061 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3434442400 is about 58604.1158964112. The cubic root of 3434442400 is about 1508.7550810974.

Adding to 3434442400 its reverse (42444343), we get a palindrome (3476886743).

It can be divided in two parts, 34344 and 42400, that multiplied together give a square (1456185600 = 38160²).

The spelling of 3434442400 in words is "three billion, four hundred thirty-four million, four hundred forty-two thousand, four hundred".