3406590400 has 42 divisors (see below), whose sum is σ = 8382345440. Its totient is φ = 1362635520.

The previous prime is 3406590377. The next prime is 3406590401. The reversal of 3406590400 is 40956043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062960 + ... + 1066159.

Almost surely, 2^3406590400 is an apocalyptic number.

It is an amenable number.

3406590400 is an abundant number, since it is smaller than the sum of its proper divisors (4975755040).

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

3406590400 is a wasteful number, since it uses less digits than its factorization.

3406590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129141 (or 2129126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3406590400 is about 58366.0038035842. The cubic root of 3406590400 is about 1504.6655327501.

The spelling of 3406590400 in words is "three billion, four hundred six million, five hundred ninety thousand, four hundred".