3684774804480 has 528 divisors, whose sum is σ = 15918122847744. Its totient is φ = 765666754560.

The previous prime is 3684774804467. The next prime is 3684774804481. The reversal of 3684774804480 is 844084774863.

3684774804480 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 7 + 74 + 80 + 4 + 480 = 666.

3684774804480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684774804481) 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, 3028909 + ... + 4067411.

Almost surely, 2^{3684774804480} is an apocalyptic number.

3684774804480 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 3684774804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959061423872).

3684774804480 is an abundant number, since it is smaller than the sum of its proper divisors (12233348043264).

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

3684774804480 is a wasteful number, since it uses less digits than its factorization.

3684774804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038552 (or 1038531 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 3684774804480 in words is "three trillion, six hundred eighty-four billion, seven hundred seventy-four million, eight hundred four thousand, four hundred eighty".