3785641200 has 180 divisors, whose sum is σ = 14331669768. Its totient is φ = 917721600.

The previous prime is 3785641163. The next prime is 3785641207. The reversal of 3785641200 is 21465873.

3785641200 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 641 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785641207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8199 + ... + 87398.

Almost surely, 2^3785641200 is an apocalyptic number.

3785641200 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 3785641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165834884).

3785641200 is an abundant number, since it is smaller than the sum of its proper divisors (10546028568).

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

3785641200 is a wasteful number, since it uses less digits than its factorization.

3785641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95632 (or 95618 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3785641200 is about 61527.5645544336. The cubic root of 3785641200 is about 1558.5227633130.

The spelling of 3785641200 in words is "three billion, seven hundred eighty-five million, six hundred forty-one thousand, two hundred".