3786428800 has 384 divisors, whose sum is σ = 11850670080. Its totient is φ = 1170892800.

The previous prime is 3786428777. The next prime is 3786428803. The reversal of 3786428800 is 88246873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786428803) 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 47 ways as a sum of consecutive naturals, for example, 29814337 + ... + 29814463.

It is an arithmetic number, because the mean of its divisors is an integer number (30861120).

Almost surely, 2^3786428800 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 3786428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925335040).

3786428800 is an abundant number, since it is smaller than the sum of its proper divisors (8064241280).

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

3786428800 is a wasteful number, since it uses less digits than its factorization.

3786428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 3786428800 is about 61533.9646049237. The cubic root of 3786428800 is about 1558.6308390081.

The spelling of 3786428800 in words is "three billion, seven hundred eighty-six million, four hundred twenty-eight thousand, eight hundred".