3785263603200 has 720 divisors, whose sum is σ = 14161934872800. Its totient is φ = 963704586240.

The previous prime is 3785263603193. The next prime is 3785263603201. The reversal of 3785263603200 is 23063625873.

3785263603200 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 2 + 636 + 0 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785263603201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1942155826 + ... + 1942157774.

It is an arithmetic number, because the mean of its divisors is an integer number (19669353990).

Almost surely, 2^{3785263603200} is an apocalyptic number.

3785263603200 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 3785263603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080967436400).

3785263603200 is an abundant number, since it is smaller than the sum of its proper divisors (10376671269600).

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

3785263603200 is a wasteful number, since it uses less digits than its factorization.

3785263603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3785263603200 in words is "three trillion, seven hundred eighty-five billion, two hundred sixty-three million, six hundred three thousand, two hundred".