3781785600 has 432 divisors, whose sum is σ = 14060428200. Its totient is φ = 970260480.

The previous prime is 3781785569. The next prime is 3781785611. The reversal of 3781785600 is 65871873.

3781785600 is a `hidden beast` number, since 3 + 7 + 81 + 7 + 8 + 560 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 13363059 + ... + 13363341.

Almost surely, 2^3781785600 is an apocalyptic number.

3781785600 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 3781785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030214100).

3781785600 is an abundant number, since it is smaller than the sum of its proper divisors (10278642600).

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

3781785600 is a wasteful number, since it uses less digits than its factorization.

3781785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 3781785600 is about 61496.2242743406. The cubic root of 3781785600 is about 1557.9934754739.

The spelling of 3781785600 in words is "three billion, seven hundred eighty-one million, seven hundred eighty-five thousand, six hundred".