3788293248 has 384 divisors, whose sum is σ = 11996375040. Its totient is φ = 1144627200.

The previous prime is 3788293237. The next prime is 3788293303. The reversal of 3788293248 is 8423928873.

3788293248 is a `hidden beast` number, since 37 + 88 + 293 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3788293194 and 3788293203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62103138 + ... + 62103198.

It is an arithmetic number, because the mean of its divisors is an integer number (31240560).

Almost surely, 2^3788293248 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 3788293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998187520).

3788293248 is an abundant number, since it is smaller than the sum of its proper divisors (8208081792).

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

3788293248 is a wasteful number, since it uses less digits than its factorization.

3788293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3788293248 is about 61549.1124875087. The cubic root of 3788293248 is about 1558.8866217401.

The spelling of 3788293248 in words is "three billion, seven hundred eighty-eight million, two hundred ninety-three thousand, two hundred forty-eight".