3819116304 has 120 divisors (see below), whose sum is σ = 11266487232. Its totient is φ = 1252091520.

The previous prime is 3819116233. The next prime is 3819116309. The reversal of 3819116304 is 4036119183.

3819116304 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 11 + 630 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3819116309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229117 + ... + 245219.

Almost surely, 2^3819116304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3819116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633243616).

3819116304 is an abundant number, since it is smaller than the sum of its proper divisors (7447370928).

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

3819116304 is a wasteful number, since it uses less digits than its factorization.

3819116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16187 (or 16169 counting only the distinct ones).

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

The square root of 3819116304 is about 61798.9992151977. Note that the first 3 decimals coincide. The cubic root of 3819116304 is about 1563.1031132124.

The spelling of 3819116304 in words is "three billion, eight hundred nineteen million, one hundred sixteen thousand, three hundred four".