3779685504000 has 1760 divisors, whose sum is σ = 16951777539840. Its totient is φ = 818159616000.

The previous prime is 3779685503963. The next prime is 3779685504047. The reversal of 3779685504000 is 4055869773.

3779685504000 is a `hidden beast` number, since 3 + 7 + 79 + 68 + 5 + 504 + 0 + 0 + 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 159 ways as a sum of consecutive naturals, for example, 1378942630 + ... + 1378945370.

It is an arithmetic number, because the mean of its divisors is an integer number (9631691784).

Almost surely, 2^{3779685504000} is an apocalyptic number.

3779685504000 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 3779685504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475888769920).

3779685504000 is an abundant number, since it is smaller than the sum of its proper divisors (13172092035840).

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

3779685504000 is a wasteful number, since it uses less digits than its factorization.

3779685504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3779685504000 in words is "three trillion, seven hundred seventy-nine billion, six hundred eighty-five million, five hundred four thousand".