34283706000 has 160 divisors (see below), whose sum is σ = 114096792576. Its totient is φ = 8847360000.

The previous prime is 34283705971. The next prime is 34283706019. The reversal of 34283706000 is 60738243.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93840 + ... + 278160.

Almost surely, 2^34283706000 is an apocalyptic number.

34283706000 is a gapful number since it is divisible by the number (30) 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 34283706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57048396288).

34283706000 is an abundant number, since it is smaller than the sum of its proper divisors (79813086576).

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

34283706000 is a wasteful number, since it uses less digits than its factorization.

34283706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184378 (or 184362 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 34283706000 in words is "thirty-four billion, two hundred eighty-three million, seven hundred six thousand".