3449462368716 has 576 divisors, whose sum is σ = 11681915105280. Its totient is φ = 856520179200.

The previous prime is 3449462368687. The next prime is 3449462368739. The reversal of 3449462368716 is 6178632649443.

3449462368716 is a `hidden beast` number, since 3 + 4 + 49 + 462 + 3 + 68 + 71 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 349449261 + ... + 349459131.

Almost surely, 2^{3449462368716} is an apocalyptic number.

3449462368716 is a gapful number since it is divisible by the number (36) 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 3449462368716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840957552640).

3449462368716 is an abundant number, since it is smaller than the sum of its proper divisors (8232452736564).

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

3449462368716 is a wasteful number, since it uses less digits than its factorization.

3449462368716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9964 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 3449462368716 in words is "three trillion, four hundred forty-nine billion, four hundred sixty-two million, three hundred sixty-eight thousand, seven hundred sixteen".