3441813120 has 256 divisors, whose sum is σ = 12345264000. Its totient is φ = 917443584.

The previous prime is 3441813107. The next prime is 3441813139. The reversal of 3441813120 is 213181443.

3441813120 is a `hidden beast` number, since 344 + 1 + 8 + 1 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398451 + ... + 1400909.

Almost surely, 2^3441813120 is an apocalyptic number.

3441813120 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 3441813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172632000).

3441813120 is an abundant number, since it is smaller than the sum of its proper divisors (8903450880).

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

3441813120 is an frugal number, since it uses more digits than its factorization.

3441813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3441813120 is about 58666.9678780146. The cubic root of 3441813120 is about 1509.8336322416.

Adding to 3441813120 its reverse (213181443), we get a palindrome (3654994563).

The spelling of 3441813120 in words is "three billion, four hundred forty-one million, eight hundred thirteen thousand, one hundred twenty".