3441909451008 has 288 divisors, whose sum is σ = 11140735334400. Its totient is φ = 920899584000.

The previous prime is 3441909451003. The next prime is 3441909451021. The reversal of 3441909451008 is 8001549091443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3441909451003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18092383 + ... + 18281633.

It is an arithmetic number, because the mean of its divisors is an integer number (38683108800).

Almost surely, 2^{3441909451008} 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 3441909451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570367667200).

3441909451008 is an abundant number, since it is smaller than the sum of its proper divisors (7698825883392).

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

3441909451008 is a wasteful number, since it uses less digits than its factorization.

3441909451008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189493 (or 189479 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 3441909451008 in words is "three trillion, four hundred forty-one billion, nine hundred nine million, four hundred fifty-one thousand, eight".