34284384000 has 432 divisors, whose sum is σ = 127963311840. Its totient is φ = 9140428800.

The previous prime is 34284383999. The next prime is 34284384023. The reversal of 34284384000 is 48348243.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7773796 + ... + 7778204.

It is an arithmetic number, because the mean of its divisors is an integer number (296211370).

Almost surely, 2^34284384000 is an apocalyptic number.

34284384000 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 34284384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63981655920).

34284384000 is an abundant number, since it is smaller than the sum of its proper divisors (93678927840).

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

34284384000 is an frugal number, since it uses more digits than its factorization.

34284384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34284384000 in words is "thirty-four billion, two hundred eighty-four million, three hundred eighty-four thousand".