3788093952 has 320 divisors, whose sum is σ = 12079584000. Its totient is φ = 1182449664.

The previous prime is 3788093927. The next prime is 3788093957. The reversal of 3788093952 is 2593908873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3788093957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19035549 + ... + 19035747.

It is an arithmetic number, because the mean of its divisors is an integer number (37748700).

Almost surely, 2^3788093952 is an apocalyptic number.

3788093952 is a gapful number since it is divisible by the number (32) 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 3788093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039792000).

3788093952 is an abundant number, since it is smaller than the sum of its proper divisors (8291490048).

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

3788093952 is an frugal number, since it uses more digits than its factorization.

3788093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 3788093952 is about 61547.4934664280. The cubic root of 3788093952 is about 1558.8592844234.

The spelling of 3788093952 in words is "three billion, seven hundred eighty-eight million, ninety-three thousand, nine hundred fifty-two".