3421030400 has 144 divisors (see below), whose sum is σ = 8573865300. Its totient is φ = 1353646080.

The previous prime is 3421030399. The next prime is 3421030477. The reversal of 3421030400 is 40301243.

It can be written as a sum of positive squares in 6 ways, for example, as 472105984 + 2948924416 = 21728^2 + 54304^2 .

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, 5580494 + ... + 5581106.

Almost surely, 2^3421030400 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 3421030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286932650).

3421030400 is an abundant number, since it is smaller than the sum of its proper divisors (5152834900).

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

3421030400 is a wasteful number, since it uses less digits than its factorization.

3421030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3421030400 is about 58489.5751395067. The cubic root of 3421030400 is about 1506.7885492371.

Adding to 3421030400 its reverse (40301243), we get a palindrome (3461331643).

The spelling of 3421030400 in words is "three billion, four hundred twenty-one million, thirty thousand, four hundred".