3774220800 has 480 divisors, whose sum is σ = 15019276800. Its totient is φ = 816168960.

The previous prime is 3774220787. The next prime is 3774220817. The reversal of 3774220800 is 80224773.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5106831 + ... + 5107569.

It is an arithmetic number, because the mean of its divisors is an integer number (31290160).

Almost surely, 2^3774220800 is an apocalyptic number.

3774220800 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 3774220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509638400).

3774220800 is an abundant number, since it is smaller than the sum of its proper divisors (11245056000).

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

3774220800 is a wasteful number, since it uses less digits than its factorization.

3774220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3774220800 is about 61434.6872703036. The cubic root of 3774220800 is about 1556.9539509755.

The spelling of 3774220800 in words is "three billion, seven hundred seventy-four million, two hundred twenty thousand, eight hundred".