3449248233984 has 1280 divisors, whose sum is σ = 12868128768000. Its totient is φ = 890062110720.

The previous prime is 3449248233973. The next prime is 3449248234009. The reversal of 3449248233984 is 4893328429443.

3449248233984 is a `hidden beast` number, since 3 + 4 + 49 + 2 + 482 + 3 + 39 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 4160733282 + ... + 4160734110.

It is an arithmetic number, because the mean of its divisors is an integer number (10053225600).

Almost surely, 2^{3449248233984} 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 3449248233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434064384000).

3449248233984 is an abundant number, since it is smaller than the sum of its proper divisors (9418880534016).

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

3449248233984 is a wasteful number, since it uses less digits than its factorization.

3449248233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 964 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 3449248233984 in words is "three trillion, four hundred forty-nine billion, two hundred forty-eight million, two hundred thirty-three thousand, nine hundred eighty-four".