3441004104960 has 720 divisors, whose sum is σ = 12571498705920. Its totient is φ = 902155345920.

The previous prime is 3441004104893. The next prime is 3441004105057. The reversal of 3441004104960 is 694014001443.

It is a happy number.

3441004104960 is a `hidden beast` number, since 3 + 44 + 100 + 410 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1536847521 + ... + 1536849759.

Almost surely, 2^{3441004104960} is an apocalyptic number.

3441004104960 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 3441004104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285749352960).

3441004104960 is an abundant number, since it is smaller than the sum of its proper divisors (9130494600960).

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

3441004104960 is an frugal number, since it uses more digits than its factorization.

3441004104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2310 counting only the distinct ones).

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

The spelling of 3441004104960 in words is "three trillion, four hundred forty-one billion, four million, one hundred four thousand, nine hundred sixty".