3669116436480 has 480 divisors, whose sum is σ = 12922583401728. Its totient is φ = 881537843200.

The previous prime is 3669116436439. The next prime is 3669116436493. The reversal of 3669116436480 is 846346119663.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 3669116436480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305473675 + ... + 305485685.

Almost surely, 2^{3669116436480} is an apocalyptic number.

3669116436480 is a gapful number since it is divisible by the number (30) 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 3669116436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461291700864).

3669116436480 is an abundant number, since it is smaller than the sum of its proper divisors (9253466965248).

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

3669116436480 is a wasteful number, since it uses less digits than its factorization.

3669116436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 3669116436480 in words is "three trillion, six hundred sixty-nine billion, one hundred sixteen million, four hundred thirty-six thousand, four hundred eighty".