3842582112 has 48 divisors (see below), whose sum is σ = 11207533680. Its totient is φ = 1280860416.

The previous prime is 3842582087. The next prime is 3842582113. The reversal of 3842582112 is 2112852483.

It is a happy number.

3842582112 is a `hidden beast` number, since 38 + 42 + 582 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842582113) 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, 2222853 + ... + 2224580.

It is an arithmetic number, because the mean of its divisors is an integer number (233490285).

Almost surely, 2^3842582112 is an apocalyptic number.

3842582112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3842582112 is an abundant number, since it is smaller than the sum of its proper divisors (7364951568).

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

3842582112 is a wasteful number, since it uses less digits than its factorization.

3842582112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447452 (or 4447438 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3842582112 is about 61988.5643647278. The cubic root of 3842582112 is about 1566.2979718077.

The spelling of 3842582112 in words is "three billion, eight hundred forty-two million, five hundred eighty-two thousand, one hundred twelve".