3812193216 has 168 divisors, whose sum is σ = 11812548384. Its totient is φ = 1168496640.

The previous prime is 3812193197. The next prime is 3812193247. The reversal of 3812193216 is 6123912183.

3812193216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3812193216² = 29065634232232845312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327950 + ... + 2329586.

It is an arithmetic number, because the mean of its divisors is an integer number (70312788).

Almost surely, 2^3812193216 is an apocalyptic number.

3812193216 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 3812193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906274192).

3812193216 is an abundant number, since it is smaller than the sum of its proper divisors (8000355168).

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

3812193216 is a wasteful number, since it uses less digits than its factorization.

3812193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1966 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3812193216 is about 61742.9608619477. The cubic root of 3812193216 is about 1562.1580389234.

The spelling of 3812193216 in words is "three billion, eight hundred twelve million, one hundred ninety-three thousand, two hundred sixteen".