34220086824 has 256 divisors, whose sum is σ = 110663884800. Its totient is φ = 8560281600.

The previous prime is 34220086727. The next prime is 34220086837. The reversal of 34220086824 is 42868002243.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5982814 + ... + 5988530.

It is an arithmetic number, because the mean of its divisors is an integer number (432280800).

Almost surely, 2^34220086824 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 34220086824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55331942400).

34220086824 is an abundant number, since it is smaller than the sum of its proper divisors (76443797976).

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

34220086824 is a wasteful number, since it uses less digits than its factorization.

34220086824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 34220086824 in words is "thirty-four billion, two hundred twenty million, eighty-six thousand, eight hundred twenty-four".