3669448062816 has 288 divisors, whose sum is σ = 11767723662240. Its totient is φ = 1120084402176.

The previous prime is 3669448062811. The next prime is 3669448062821. The reversal of 3669448062816 is 6182608449663.

3669448062816 is a `hidden beast` number, since 3 + 6 + 6 + 94 + 480 + 62 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3669448062811) and next prime (3669448062821).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669448062811) 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, 4515990 + ... + 5266218.

It is an arithmetic number, because the mean of its divisors is an integer number (40860151605).

Almost surely, 2^{3669448062816} is an apocalyptic number.

3669448062816 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 3669448062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883861831120).

3669448062816 is an abundant number, since it is smaller than the sum of its proper divisors (8098275599424).

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

3669448062816 is a wasteful number, since it uses less digits than its factorization.

3669448062816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750308 (or 750288 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3669448062816 in words is "three trillion, six hundred sixty-nine billion, four hundred forty-eight million, sixty-two thousand, eight hundred sixteen".