3405504000 has 160 divisors (see below), whose sum is σ = 11323087776. Its totient is φ = 908083200.

The previous prime is 3405503999. The next prime is 3405504043. The reversal of 3405504000 is 4055043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183132 + ... + 200868.

Almost surely, 2^3405504000 is an apocalyptic number.

3405504000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661543888).

3405504000 is an abundant number, since it is smaller than the sum of its proper divisors (7917583776).

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

3405504000 is an equidigital number, since it uses as much as digits as its factorization.

3405504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17773 (or 17747 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3405504000 is about 58356.6962738639. The cubic root of 3405504000 is about 1504.5055641554.

Adding to 3405504000 its reverse (4055043), we get a palindrome (3409559043).

The spelling of 3405504000 in words is "three billion, four hundred five million, five hundred four thousand".