34024700000 has 144 divisors (see below), whose sum is σ = 84690204480. Its totient is φ = 13453440000.

The previous prime is 34024699949. The next prime is 34024700011. The reversal of 34024700000 is 742043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 8898089 + ... + 8901911.

It is an arithmetic number, because the mean of its divisors is an integer number (588126420).

Almost surely, 2^34024700000 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 34024700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345102240).

34024700000 is an abundant number, since it is smaller than the sum of its proper divisors (50665504480).

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

34024700000 is an frugal number, since it uses more digits than its factorization.

34024700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The spelling of 34024700000 in words is "thirty-four billion, twenty-four million, seven hundred thousand".