3404400420300 has 144 divisors (see below), whose sum is σ = 10750954311552. Its totient is φ = 824892249600.

The previous prime is 3404400420299. The next prime is 3404400420331. The reversal of 3404400420300 is 30240044043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6297504 + ... + 6816696.

Almost surely, 2^{3404400420300} is an apocalyptic number.

3404400420300 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 3404400420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375477155776).

3404400420300 is an abundant number, since it is smaller than the sum of its proper divisors (7346553891252).

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

3404400420300 is a wasteful number, since it uses less digits than its factorization.

3404400420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521208 (or 521201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3404400420300 its reverse (30240044043), we get a palindrome (3434640464343).

The spelling of 3404400420300 in words is "three trillion, four hundred four billion, four hundred million, four hundred twenty thousand, three hundred".