3441120000 has 360 divisors, whose sum is σ = 11723697216. Its totient is φ = 895488000.

The previous prime is 3441119989. The next prime is 3441120061. The reversal of 3441120000 is 211443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32159947 + ... + 32160053.

Almost surely, 2^3441120000 is an apocalyptic number.

3441120000 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 3441120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861848608).

3441120000 is an abundant number, since it is smaller than the sum of its proper divisors (8282577216).

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

3441120000 is an equidigital number, since it uses as much as digits as its factorization.

3441120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3441120000 is about 58661.0603381835. The cubic root of 3441120000 is about 1509.7322742163.

Adding to 3441120000 its reverse (211443), we get a palindrome (3441331443).

The spelling of 3441120000 in words is "three billion, four hundred forty-one million, one hundred twenty thousand".