3846430957824 has 729 divisors, whose sum is σ = 14000746815783. Its totient is φ = 1012183990272.

The previous prime is 3846430957813. The next prime is 3846430957849. The reversal of 3846430957824 is 4287590346483.

The square root of 3846430957824 is 1961232.

It is a perfect power (a square), and thus also a powerful number.

3846430957824 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 4 + 30 + 9 + 578 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290822918400 + 3555608039424 = 539280^2 + 1885632^2 .

It is a super-2 number, since 2×3846430957824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8566661152 + ... + 8566661600.

Almost surely, 2^{3846430957824} is an apocalyptic number.

3846430957824 is the 1961232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3846430957824

3846430957824 is an abundant number, since it is smaller than the sum of its proper divisors (10154315857959).

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

3846430957824 is an equidigital number, since it uses as much as digits as its factorization.

3846430957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3846430957824 in words is "three trillion, eight hundred forty-six billion, four hundred thirty million, nine hundred fifty-seven thousand, eight hundred twenty-four".