3404104103400 has 768 divisors, whose sum is σ = 14181652316160. Its totient is φ = 652337971200.

The previous prime is 3404104103369. The next prime is 3404104103419. The reversal of 3404104103400 is 43014014043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 941138392 + ... + 941142008.

It is an arithmetic number, because the mean of its divisors is an integer number (18465693120).

Almost surely, 2^{3404104103400} is an apocalyptic number.

3404104103400 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 3404104103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090826158080).

3404104103400 is an abundant number, since it is smaller than the sum of its proper divisors (10777548212760).

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

3404104103400 is a wasteful number, since it uses less digits than its factorization.

3404104103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3404104103400 its reverse (43014014043), we get a palindrome (3447118117443).

The spelling of 3404104103400 in words is "three trillion, four hundred four billion, one hundred four million, one hundred three thousand, four hundred".