3441504990 has 384 divisors, whose sum is σ = 11384561664. Its totient is φ = 648806400.

The previous prime is 3441504961. The next prime is 3441505033. The reversal of 3441504990 is 994051443.

3441504990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 13390942 + ... + 13391198.

It is an arithmetic number, because the mean of its divisors is an integer number (29647296).

Almost surely, 2^3441504990 is an apocalyptic number.

3441504990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441504990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692280832).

3441504990 is an abundant number, since it is smaller than the sum of its proper divisors (7943056674).

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

3441504990 is a wasteful number, since it uses less digits than its factorization.

3441504990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3441504990 is about 58664.3417247650. The cubic root of 3441504990 is about 1509.7885746993.

The spelling of 3441504990 in words is "three billion, four hundred forty-one million, five hundred four thousand, nine hundred ninety".