3449336776704 has 576 divisors, whose sum is σ = 12800403907200. Its totient is φ = 909705904128.

The previous prime is 3449336776703. The next prime is 3449336776727. The reversal of 3449336776704 is 4076776339443.

3449336776704 is a `hidden beast` number, since 3 + 4 + 493 + 3 + 6 + 7 + 76 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (3449336776703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35174589 + ... + 35272515.

It is an arithmetic number, because the mean of its divisors is an integer number (22222923450).

Almost surely, 2^{3449336776704} 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 3449336776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400201953600).

3449336776704 is an abundant number, since it is smaller than the sum of its proper divisors (9351067130496).

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

3449336776704 is a wasteful number, since it uses less digits than its factorization.

3449336776704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97985 (or 97952 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 63.

The spelling of 3449336776704 in words is "three trillion, four hundred forty-nine billion, three hundred thirty-six million, seven hundred seventy-six thousand, seven hundred four".