3846673952 has 48 divisors (see below), whose sum is σ = 8270996832. Its totient is φ = 1746501120.

The previous prime is 3846673951. The next prime is 3846673993. The reversal of 3846673952 is 2593766483.

It is a happy number.

It is a super-3 number, since 3×3846673952³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3846673894 and 3846673903.

It is not an unprimeable number, because it can be changed into a prime (3846673951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329723 + ... + 341189.

It is an arithmetic number, because the mean of its divisors is an integer number (172312434).

Almost surely, 2^3846673952 is an apocalyptic number.

3846673952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3846673952 is an abundant number, since it is smaller than the sum of its proper divisors (4424322880).

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

3846673952 is a wasteful number, since it uses less digits than its factorization.

3846673952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12433 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 53.

The square root of 3846673952 is about 62021.5603802420. The cubic root of 3846673952 is about 1566.8537410730.

The spelling of 3846673952 in words is "three billion, eight hundred forty-six million, six hundred seventy-three thousand, nine hundred fifty-two".