3788323209216 has 1800 divisors, whose sum is σ = 14859462266880. Its totient is φ = 939080024064.

The previous prime is 3788323209211. The next prime is 3788323209233. The reversal of 3788323209216 is 6129023238873.

3788323209216 is a `hidden beast` number, since 3 + 7 + 88 + 323 + 20 + 9 + 216 = 666.

It is a super-2 number, since 2×3788323209216² (a number of 26 digits) contains 22 as substring.

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 (3788323209211) 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 119 ways as a sum of consecutive naturals, for example, 29829316545 + ... + 29829316671.

Almost surely, 2^{3788323209216} is an apocalyptic number.

3788323209216 is a gapful number since it is divisible by the number (36) 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 3788323209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429731133440).

3788323209216 is an abundant number, since it is smaller than the sum of its proper divisors (11071139057664).

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

3788323209216 is a wasteful number, since it uses less digits than its factorization.

3788323209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3788323209216 in words is "three trillion, seven hundred eighty-eight billion, three hundred twenty-three million, two hundred nine thousand, two hundred sixteen".