3788248320 has 216 divisors, whose sum is σ = 13153140000. Its totient is φ = 1006645248.

The previous prime is 3788248307. The next prime is 3788248333. The reversal of 3788248320 is 238428873.

3788248320 is a `hidden beast` number, since 3 + 7 + 88 + 248 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3788248307) and next prime (3788248333).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5748151 + ... + 5748809.

Almost surely, 2^3788248320 is an apocalyptic number.

3788248320 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 3788248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576570000).

3788248320 is an abundant number, since it is smaller than the sum of its proper divisors (9364891680).

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

3788248320 is a wasteful number, since it uses less digits than its factorization.

3788248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3788248320 is about 61548.7475095960. The cubic root of 3788248320 is about 1558.8804590761.

The spelling of 3788248320 in words is "three billion, seven hundred eighty-eight million, two hundred forty-eight thousand, three hundred twenty".