3785285504 has 256 divisors, whose sum is σ = 10462556160. Its totient is φ = 1316044800.

The previous prime is 3785285503. The next prime is 3785285519. The reversal of 3785285504 is 4055825873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785285503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3971492 + ... + 3972444.

It is an arithmetic number, because the mean of its divisors is an integer number (40869360).

Almost surely, 2^3785285504 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 3785285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231278080).

3785285504 is an abundant number, since it is smaller than the sum of its proper divisors (6677270656).

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

3785285504 is a wasteful number, since it uses less digits than its factorization.

3785285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The square root of 3785285504 is about 61524.6739446866. The cubic root of 3785285504 is about 1558.4739492419.

The spelling of 3785285504 in words is "three billion, seven hundred eighty-five million, two hundred eighty-five thousand, five hundred four".