3404836800 has 504 divisors, whose sum is σ = 12725643840. Its totient is φ = 862617600.

The previous prime is 3404836741. The next prime is 3404836811. The reversal of 3404836800 is 86384043.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 43099161 + ... + 43099239.

Almost surely, 2^3404836800 is an apocalyptic number.

3404836800 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 3404836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362821920).

3404836800 is an abundant number, since it is smaller than the sum of its proper divisors (9320807040).

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

3404836800 is a wasteful number, since it uses less digits than its factorization.

3404836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3404836800 is about 58350.9794262273. The cubic root of 3404836800 is about 1504.4073044290.

The spelling of 3404836800 in words is "three billion, four hundred four million, eight hundred thirty-six thousand, eight hundred".