34302444000282 has 96 divisors (see below), whose sum is σ = 81294820798464. Its totient is φ = 10406395584000.

The previous prime is 34302444000281. The next prime is 34302444000287. The reversal of 34302444000282 is 28200044420343.

34302444000282 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 244 + 400 + 0 + 2 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (34302444000281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10951543 + ... + 13731029.

It is an arithmetic number, because the mean of its divisors is an integer number (846821049984).

Almost surely, 2^{34302444000282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34302444000282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40647410399232).

34302444000282 is an abundant number, since it is smaller than the sum of its proper divisors (46992376798182).

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

34302444000282 is a wasteful number, since it uses less digits than its factorization.

34302444000282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780844 (or 2780841 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 34302444000282 in words is "thirty-four trillion, three hundred two billion, four hundred forty-four million, two hundred eighty-two", and thus it is an aban number.