3785544000 has 1008 divisors, whose sum is σ = 16735988880. Its totient is φ = 812851200.

The previous prime is 3785543959. The next prime is 3785544043. The reversal of 3785544000 is 4455873.

3785544000 is a `hidden beast` number, since 37 + 85 + 544 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 484352064 + 3301191936 = 22008^2 + 57456^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102311982 + ... + 102312018.

Almost surely, 2^3785544000 is an apocalyptic number.

3785544000 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 3785544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367994440).

3785544000 is an abundant number, since it is smaller than the sum of its proper divisors (12950444880).

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

3785544000 is a wasteful number, since it uses less digits than its factorization.

3785544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3785544000 is about 61526.7746594928. The cubic root of 3785544000 is about 1558.5094243390.

Adding to 3785544000 its reverse (4455873), we get a palindrome (3789999873).

The spelling of 3785544000 in words is "three billion, seven hundred eighty-five million, five hundred forty-four thousand".