3408401600 has 42 divisors (see below), whose sum is σ = 8386802124. Its totient is φ = 1363360000.

The previous prime is 3408401573. The next prime is 3408401603. The reversal of 3408401600 is 61048043.

It is a self number, because there is not a number n which added to its sum of digits gives 3408401600.

It is not an unprimeable number, because it can be changed into a prime (3408401603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063526 + ... + 1066725.

Almost surely, 2^3408401600 is an apocalyptic number.

It is an amenable number.

3408401600 is an abundant number, since it is smaller than the sum of its proper divisors (4978400524).

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

3408401600 is a wasteful number, since it uses less digits than its factorization.

3408401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130273 (or 2130258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3408401600 is about 58381.5176233027. The cubic root of 3408401600 is about 1504.9321500079.

Adding to 3408401600 its reverse (61048043), we get a palindrome (3469449643).

The spelling of 3408401600 in words is "three billion, four hundred eight million, four hundred one thousand, six hundred".