3781784160 has 384 divisors, whose sum is σ = 16503782400. Its totient is φ = 785756160.

The previous prime is 3781784143. The next prime is 3781784191. The reversal of 3781784160 is 614871873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326956 + ... + 338324.

It is an arithmetic number, because the mean of its divisors is an integer number (42978600).

Almost surely, 2^3781784160 is an apocalyptic number.

3781784160 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 3781784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251891200).

3781784160 is an abundant number, since it is smaller than the sum of its proper divisors (12721998240).

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

3781784160 is a wasteful number, since it uses less digits than its factorization.

3781784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3781784160 is about 61496.2125663036. The cubic root of 3781784160 is about 1557.9932777269.

The spelling of 3781784160 in words is "three billion, seven hundred eighty-one million, seven hundred eighty-four thousand, one hundred sixty".