3788823120 has 160 divisors (see below), whose sum is σ = 12555696384. Its totient is φ = 942796800.

The previous prime is 3788823113. The next prime is 3788823127. The reversal of 3788823120 is 213288873.

It is an interprime number because it is at equal distance from previous prime (3788823113) and next prime (3788823127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788823127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217950 + ... + 234690.

Almost surely, 2^3788823120 is an apocalyptic number.

3788823120 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 3788823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277848192).

3788823120 is an abundant number, since it is smaller than the sum of its proper divisors (8766873264).

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

3788823120 is a wasteful number, since it uses less digits than its factorization.

3788823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16821 (or 16815 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 3788823120 is about 61553.4168019940. The cubic root of 3788823120 is about 1558.9592993119.

The spelling of 3788823120 in words is "three billion, seven hundred eighty-eight million, eight hundred twenty-three thousand, one hundred twenty".