3785552910720 has 1536 divisors, whose sum is σ = 16384675507200. Its totient is φ = 815890268160.

The previous prime is 3785552910661. The next prime is 3785552910749. The reversal of 3785552910720 is 270192555873.

3785552910720 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 5 + 529 + 107 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 8211611290 + ... + 8211611750.

It is an arithmetic number, because the mean of its divisors is an integer number (10667106450).

Almost surely, 2^{3785552910720} is an apocalyptic number.

3785552910720 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 3785552910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192337753600).

3785552910720 is an abundant number, since it is smaller than the sum of its proper divisors (12599122596480).

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

3785552910720 is a wasteful number, since it uses less digits than its factorization.

3785552910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 3785552910720 in words is "three trillion, seven hundred eighty-five billion, five hundred fifty-two million, nine hundred ten thousand, seven hundred twenty".