34087324720 has 80 divisors (see below), whose sum is σ = 81854403840. Its totient is φ = 13187865600.

The previous prime is 34087324703. The next prime is 34087324727. The reversal of 34087324720 is 2742378043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34087324727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7708110 + ... + 7712530.

It is an arithmetic number, because the mean of its divisors is an integer number (1023180048).

Almost surely, 2^34087324720 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 34087324720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40927201920).

34087324720 is an abundant number, since it is smaller than the sum of its proper divisors (47767079120).

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

34087324720 is a wasteful number, since it uses less digits than its factorization.

34087324720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 34087324720 in words is "thirty-four billion, eighty-seven million, three hundred twenty-four thousand, seven hundred twenty".