3778776800 has 72 divisors (see below), whose sum is σ = 9243049032. Its totient is φ = 1508544000.

The previous prime is 3778776719. The next prime is 3778776803. The reversal of 3778776800 is 86778773.

3778776800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778776803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428435 + ... + 437165.

It is an arithmetic number, because the mean of its divisors is an integer number (128375681).

Almost surely, 2^3778776800 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 3778776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621524516).

3778776800 is an abundant number, since it is smaller than the sum of its proper divisors (5464272232).

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

3778776800 is a wasteful number, since it uses less digits than its factorization.

3778776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 53.

The square root of 3778776800 is about 61471.7561161221. The cubic root of 3778776800 is about 1557.5801844174.

The spelling of 3778776800 in words is "three billion, seven hundred seventy-eight million, seven hundred seventy-six thousand, eight hundred".