3441980479392 has 768 divisors, whose sum is σ = 12973240627200. Its totient is φ = 863352483840.

The previous prime is 3441980479381. The next prime is 3441980479411. The reversal of 3441980479392 is 2939740891443.

3441980479392 is a `hidden beast` number, since 3 + 4 + 41 + 98 + 0 + 479 + 39 + 2 = 666.

It is a super-3 number, since 3×3441980479392³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152755167 + ... + 152777697.

It is an arithmetic number, because the mean of its divisors is an integer number (16892240400).

Almost surely, 2^{3441980479392} is an apocalyptic number.

3441980479392 is a gapful number since it is divisible by the number (32) 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 3441980479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486620313600).

3441980479392 is an abundant number, since it is smaller than the sum of its proper divisors (9531260147808).

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

3441980479392 is a wasteful number, since it uses less digits than its factorization.

3441980479392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22666 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3441980479392 in words is "three trillion, four hundred forty-one billion, nine hundred eighty million, four hundred seventy-nine thousand, three hundred ninety-two".