3778773504 has 320 divisors, whose sum is σ = 11784960000. Its totient is φ = 1063895040.

The previous prime is 3778773503. The next prime is 3778773511. The reversal of 3778773504 is 4053778773.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3778773503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25360822 + ... + 25360970.

It is an arithmetic number, because the mean of its divisors is an integer number (36828000).

Almost surely, 2^3778773504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3778773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480000).

3778773504 is an abundant number, since it is smaller than the sum of its proper divisors (8006186496).

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

3778773504 is a wasteful number, since it uses less digits than its factorization.

3778773504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The square root of 3778773504 is about 61471.7293070563. The cubic root of 3778773504 is about 1557.5797315560.

The spelling of 3778773504 in words is "three billion, seven hundred seventy-eight million, seven hundred seventy-three thousand, five hundred four".