3778822800 has 480 divisors, whose sum is σ = 14072115200. Its totient is φ = 962357760.

The previous prime is 3778822793. The next prime is 3778822811. The reversal of 3778822800 is 82288773.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36687549 + ... + 36687651.

Almost surely, 2^3778822800 is an apocalyptic number.

3778822800 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 3778822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036057600).

3778822800 is an abundant number, since it is smaller than the sum of its proper divisors (10293292400).

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

3778822800 is a wasteful number, since it uses less digits than its factorization.

3778822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 3778822800 is about 61472.1302705543. The cubic root of 3778822800 is about 1557.5865046635.

The spelling of 3778822800 in words is "three billion, seven hundred seventy-eight million, eight hundred twenty-two thousand, eight hundred".