3834446112 has 72 divisors (see below), whose sum is σ = 12461956416. Its totient is φ = 1095555456.

The previous prime is 3834446087. The next prime is 3834446129. The reversal of 3834446112 is 2116444383.

3834446112 is a `hidden beast` number, since 3 + 8 + 34 + 4 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3834446112³ (a number of 30 digits) contains 333 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 948988 + ... + 953019.

It is an arithmetic number, because the mean of its divisors is an integer number (173082728).

Almost surely, 2^3834446112 is an apocalyptic number.

3834446112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3834446112 is an abundant number, since it is smaller than the sum of its proper divisors (8627510304).

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

3834446112 is a wasteful number, since it uses less digits than its factorization.

3834446112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902030 (or 1902019 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3834446112 is about 61922.9045830378. The cubic root of 3834446112 is about 1565.1917360787.

The spelling of 3834446112 in words is "three billion, eight hundred thirty-four million, four hundred forty-six thousand, one hundred twelve".