3780543836160 has 1248 divisors, whose sum is σ = 16838858594880. Its totient is φ = 797578887168.

The previous prime is 3780543836119. The next prime is 3780543836161. The reversal of 3780543836160 is 616383450873.

3780543836160 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 543 + 8 + 36 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3780543836097 and 3780543836106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780543836161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352230154 + ... + 352240886.

Almost surely, 2^{3780543836160} is an apocalyptic number.

3780543836160 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 3780543836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419429297440).

3780543836160 is an abundant number, since it is smaller than the sum of its proper divisors (13058314758720).

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

3780543836160 is a wasteful number, since it uses less digits than its factorization.

3780543836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3780543836160 in words is "three trillion, seven hundred eighty billion, five hundred forty-three million, eight hundred thirty-six thousand, one hundred sixty".