3788822400 has 192 divisors, whose sum is σ = 13614307200. Its totient is φ = 918476800.

The previous prime is 3788822381. The next prime is 3788822417. The reversal of 3788822400 is 42288873.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87661 + ... + 123539.

It is an arithmetic number, because the mean of its divisors is an integer number (70907850).

Almost surely, 2^3788822400 is an apocalyptic number.

3788822400 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 3788822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807153600).

3788822400 is an abundant number, since it is smaller than the sum of its proper divisors (9825484800).

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

3788822400 is a wasteful number, since it uses less digits than its factorization.

3788822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35917 (or 35900 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 3788822400 is about 61553.4109534151. The cubic root of 3788822400 is about 1558.9592005608.

The spelling of 3788822400 in words is "three billion, seven hundred eighty-eight million, eight hundred twenty-two thousand, four hundred".