3404441400 has 192 divisors, whose sum is σ = 10750428000. Its totient is φ = 891125760.

The previous prime is 3404441389. The next prime is 3404441407. The reversal of 3404441400 is 41444043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404441407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10102032 + ... + 10102368.

Almost surely, 2^3404441400 is an apocalyptic number.

3404441400 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 3404441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375214000).

3404441400 is an abundant number, since it is smaller than the sum of its proper divisors (7345986600).

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

3404441400 is a wasteful number, since it uses less digits than its factorization.

3404441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3404441400 is about 58347.5912099206. The cubic root of 3404441400 is about 1504.3490671124.

Adding to 3404441400 its reverse (41444043), we get a palindrome (3445885443).

The spelling of 3404441400 in words is "three billion, four hundred four million, four hundred forty-one thousand, four hundred".