3785056819200 has 1152 divisors, whose sum is σ = 14916545280000. Its totient is φ = 937837854720.

The previous prime is 3785056819199. The next prime is 3785056819223. The reversal of 3785056819200 is 29186505873.

3785056819200 is a `hidden beast` number, since 3 + 7 + 8 + 50 + 568 + 1 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1392075441 + ... + 1392078159.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390000).

Almost surely, 2^{3785056819200} is an apocalyptic number.

3785056819200 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 3785056819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458272640000).

3785056819200 is an abundant number, since it is smaller than the sum of its proper divisors (11131488460800).

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

3785056819200 is a wasteful number, since it uses less digits than its factorization.

3785056819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 3785056819200 in words is "three trillion, seven hundred eighty-five billion, fifty-six million, eight hundred nineteen thousand, two hundred".