34282111360 has 256 divisors, whose sum is σ = 97261977600. Its totient is φ = 11306926080.

The previous prime is 34282111321. The next prime is 34282111441. The reversal of 34282111360 is 6311128243.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26803201 + ... + 26804479.

It is an arithmetic number, because the mean of its divisors is an integer number (379929600).

Almost surely, 2^34282111360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34282111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48630988800).

34282111360 is an abundant number, since it is smaller than the sum of its proper divisors (62979866240).

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

34282111360 is a wasteful number, since it uses less digits than its factorization.

34282111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 34282111360 in words is "thirty-four billion, two hundred eighty-two million, one hundred eleven thousand, three hundred sixty".