3441980304 has 480 divisors, whose sum is σ = 12186720000. Its totient is φ = 938843136.

The previous prime is 3441980303. The next prime is 3441980323. The reversal of 3441980304 is 4030891443.

3441980304 is a `hidden beast` number, since 344 + 1 + 9 + 8 + 0 + 304 = 666.

It is a super-3 number, since 3×3441980304³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3441980303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38673892 + ... + 38673980.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 2^3441980304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441980304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360000).

3441980304 is an abundant number, since it is smaller than the sum of its proper divisors (8744739696).

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

3441980304 is an equidigital number, since it uses as much as digits as its factorization.

3441980304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3441980304 is about 58668.3927170329. The cubic root of 3441980304 is about 1509.8580782657.

The spelling of 3441980304 in words is "three billion, four hundred forty-one million, nine hundred eighty thousand, three hundred four".