3819151296 has 168 divisors, whose sum is σ = 11618390784. Its totient is φ = 1243226880.

The previous prime is 3819151291. The next prime is 3819151307. The reversal of 3819151296 is 6921519183.

3819151296 is a `hidden beast` number, since 38 + 19 + 1 + 512 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819151291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665881 + ... + 671591.

It is an arithmetic number, because the mean of its divisors is an integer number (69157088).

Almost surely, 2^3819151296 is an apocalyptic number.

3819151296 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 3819151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809195392).

3819151296 is an abundant number, since it is smaller than the sum of its proper divisors (7799239488).

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

3819151296 is an equidigital number, since it uses as much as digits as its factorization.

3819151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5759 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 3819151296 is about 61799.2823259300. The cubic root of 3819151296 is about 1563.1078870861.

The spelling of 3819151296 in words is "three billion, eight hundred nineteen million, one hundred fifty-one thousand, two hundred ninety-six".