3854298816 has 252 divisors, whose sum is σ = 11728188888. Its totient is φ = 1256352768.

The previous prime is 3854298793. The next prime is 3854298817. The reversal of 3854298816 is 6188924583.

3854298816 is a `hidden beast` number, since 3 + 8 + 542 + 9 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3317760) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (3854298817) 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 35 ways as a sum of consecutive naturals, for example, 28133500 + ... + 28133636.

Almost surely, 2^3854298816 is an apocalyptic number.

3854298816 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 3854298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864094444).

3854298816 is an abundant number, since it is smaller than the sum of its proper divisors (7873890072).

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

3854298816 is an frugal number, since it uses more digits than its factorization.

3854298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3854298816 is about 62082.9994120774. Note that the first 3 decimals coincide. The cubic root of 3854298816 is about 1567.8883285041. Note that the first 3 decimals are identical.

The spelling of 3854298816 in words is "three billion, eight hundred fifty-four million, two hundred ninety-eight thousand, eight hundred sixteen".