34286268192 has 96 divisors (see below), whose sum is σ = 98389831680. Its totient is φ = 10367934720.

The previous prime is 34286268167. The next prime is 34286268197. The reversal of 34286268192 is 29186268243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34286268197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471933 + ... + 539715.

It is an arithmetic number, because the mean of its divisors is an integer number (1024894080).

Almost surely, 2^34286268192 is an apocalyptic number.

34286268192 is a gapful number since it is divisible by the number (32) 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 34286268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49194915840).

34286268192 is an abundant number, since it is smaller than the sum of its proper divisors (64103563488).

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

34286268192 is a wasteful number, since it uses less digits than its factorization.

34286268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68286 (or 68278 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

Adding to 34286268192 its sum of digits (51), we get a palindrome (34286268243).

The spelling of 34286268192 in words is "thirty-four billion, two hundred eighty-six million, two hundred sixty-eight thousand, one hundred ninety-two".