3441401100 has 216 divisors, whose sum is σ = 11323459280. Its totient is φ = 896624640.

The previous prime is 3441400987. The next prime is 3441401111. The reversal of 3441401100 is 11041443.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5964012 + ... + 5964588.

Almost surely, 2^3441401100 is an apocalyptic number.

3441401100 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 3441401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661729640).

3441401100 is an abundant number, since it is smaller than the sum of its proper divisors (7882058180).

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

3441401100 is a wasteful number, since it uses less digits than its factorization.

3441401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3441401100 is about 58663.4562568555. The cubic root of 3441401100 is about 1509.7733823620.

Adding to 3441401100 its reverse (11041443), we get a palindrome (3452442543).

The spelling of 3441401100 in words is "three billion, four hundred forty-one million, four hundred one thousand, one hundred".