3449374455384 has 864 divisors, whose sum is σ = 11920545131040. Its totient is φ = 897639874560.

The previous prime is 3449374455379. The next prime is 3449374455419. The reversal of 3449374455384 is 4835544739443.

3449374455384 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 3 + 74 + 4 + 553 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1252949752 + ... + 1252952504.

It is an arithmetic number, because the mean of its divisors is an integer number (13796927235).

Almost surely, 2^{3449374455384} 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 3449374455384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960272565520).

3449374455384 is an abundant number, since it is smaller than the sum of its proper divisors (8471170675656).

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

3449374455384 is a wasteful number, since it uses less digits than its factorization.

3449374455384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2842 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 63.

The spelling of 3449374455384 in words is "three trillion, four hundred forty-nine billion, three hundred seventy-four million, four hundred fifty-five thousand, three hundred eighty-four".