3785535200 has 72 divisors (see below), whose sum is σ = 9251126640. Its totient is φ = 1512627200.

The previous prime is 3785535161. The next prime is 3785535203. The reversal of 3785535200 is 25355873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785535203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029365 + ... + 1033035.

It is an arithmetic number, because the mean of its divisors is an integer number (128487870).

Almost surely, 2^3785535200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625563320).

3785535200 is an abundant number, since it is smaller than the sum of its proper divisors (5465591440).

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

3785535200 is a wasteful number, since it uses less digits than its factorization.

3785535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 3785535200 is about 61526.7031458699. The cubic root of 3785535200 is about 1558.5082166839.

The spelling of 3785535200 in words is "three billion, seven hundred eighty-five million, five hundred thirty-five thousand, two hundred".