3785289600 has 192 divisors, whose sum is σ = 12514310640. Its totient is φ = 1005649920.

The previous prime is 3785289569. The next prime is 3785289637. The reversal of 3785289600 is 69825873.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3785289600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3388242 + ... + 3389358.

Almost surely, 2^3785289600 is an apocalyptic number.

3785289600 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 3785289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257155320).

3785289600 is an abundant number, since it is smaller than the sum of its proper divisors (8729021040).

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

3785289600 is a wasteful number, since it uses less digits than its factorization.

3785289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3785289600 is about 61524.7072321356. The cubic root of 3785289600 is about 1558.4745113754.

The spelling of 3785289600 in words is "three billion, seven hundred eighty-five million, two hundred eighty-nine thousand, six hundred".