3846691296 has 360 divisors, whose sum is σ = 13598456256. Its totient is φ = 1062512640.

The previous prime is 3846691271. The next prime is 3846691297. The reversal of 3846691296 is 6921966483.

3846691296 is a `hidden beast` number, since 3 + 8 + 466 + 91 + 2 + 96 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846691297) 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 59 ways as a sum of consecutive naturals, for example, 3936760 + ... + 3937736.

Almost surely, 2^3846691296 is an apocalyptic number.

3846691296 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 3846691296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799228128).

3846691296 is an abundant number, since it is smaller than the sum of its proper divisors (9751764960).

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

3846691296 is a wasteful number, since it uses less digits than its factorization.

3846691296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1020 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3846691296 is about 62021.7002024291. The cubic root of 3846691296 is about 1566.8560959620.

The spelling of 3846691296 in words is "three billion, eight hundred forty-six million, six hundred ninety-one thousand, two hundred ninety-six".