3846933216 has 192 divisors, whose sum is σ = 13170447360. Its totient is φ = 1069355520.

The previous prime is 3846933197. The next prime is 3846933239. The reversal of 3846933216 is 6123396483.

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 31 ways as a sum of consecutive naturals, for example, 215181 + ... + 232371.

It is an arithmetic number, because the mean of its divisors is an integer number (68596080).

Almost surely, 2^3846933216 is an apocalyptic number.

3846933216 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 3846933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585223680).

3846933216 is an abundant number, since it is smaller than the sum of its proper divisors (9323514144).

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

3846933216 is a wasteful number, since it uses less digits than its factorization.

3846933216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17254 (or 17240 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3846933216 is about 62023.6504569023. The cubic root of 3846933216 is about 1566.8889420152. Note that the first 3 decimals are identical.

The spelling of 3846933216 in words is "three billion, eight hundred forty-six million, nine hundred thirty-three thousand, two hundred sixteen".