3788320320 has 448 divisors, whose sum is σ = 14396313600. Its totient is φ = 934778880.

The previous prime is 3788320303. The next prime is 3788320343. The reversal of 3788320320 is 230238873.

3788320320 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 320 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715275 + ... + 7715765.

Almost surely, 2^3788320320 is an apocalyptic number.

3788320320 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 3788320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198156800).

3788320320 is an abundant number, since it is smaller than the sum of its proper divisors (10607993280).

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

3788320320 is a wasteful number, since it uses less digits than its factorization.

3788320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3788320320 is about 61549.3324090522. The cubic root of 3788320320 is about 1558.8903351166.

The spelling of 3788320320 in words is "three billion, seven hundred eighty-eight million, three hundred twenty thousand, three hundred twenty".