3874338216 has 320 divisors, whose sum is σ = 13423449600. Its totient is φ = 1018718208.

The previous prime is 3874338211. The next prime is 3874338239. The reversal of 3874338216 is 6128334783.

3874338216 is a `hidden beast` number, since 38 + 74 + 338 + 216 = 666.

It is a super-2 number, since 2×3874338216² = 30020993223916125312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3874338211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3623730 + ... + 3624798.

It is an arithmetic number, because the mean of its divisors is an integer number (41948280).

Almost surely, 2^3874338216 is an apocalyptic number.

3874338216 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 3874338216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711724800).

3874338216 is an abundant number, since it is smaller than the sum of its proper divisors (9549111384).

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

3874338216 is a wasteful number, since it uses less digits than its factorization.

3874338216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3874338216 is about 62244.1821859682. The cubic root of 3874338216 is about 1570.6009053865.

The spelling of 3874338216 in words is "three billion, eight hundred seventy-four million, three hundred thirty-eight thousand, two hundred sixteen".