4034282112 has 288 divisors, whose sum is σ = 14009879520. Its totient is φ = 1152216576.

The previous prime is 4034282101. The next prime is 4034282113. The reversal of 4034282112 is 2112824304.

4034282112 is a `hidden beast` number, since 403 + 42 + 8 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4034282113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522773 + ... + 1525419.

It is an arithmetic number, because the mean of its divisors is an integer number (48645415).

Almost surely, 2^4034282112 is an apocalyptic number.

4034282112 is a gapful number since it is divisible by the number (42) 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 4034282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004939760).

4034282112 is an abundant number, since it is smaller than the sum of its proper divisors (9975597408).

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

4034282112 is an equidigital number, since it uses as much as digits as its factorization.

4034282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4034282112 is about 63515.9988664273. The cubic root of 4034282112 is about 1591.9231127063.

It can be divided in two parts, 4034 and 282112, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 4034282112 in words is "four billion, thirty-four million, two hundred eighty-two thousand, one hundred twelve".