34086408804 has 216 divisors, whose sum is σ = 108360994560. Its totient is φ = 8976707712.

The previous prime is 34086408799. The next prime is 34086408847. The reversal of 34086408804 is 40880468043.

It is a self number, because there is not a number n which added to its sum of digits gives 34086408804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226349 + ... + 1253835.

Almost surely, 2^34086408804 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 34086408804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54180497280).

34086408804 is an abundant number, since it is smaller than the sum of its proper divisors (74274585756).

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

34086408804 is a wasteful number, since it uses less digits than its factorization.

34086408804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27567 (or 27555 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 34086408804 in words is "thirty-four billion, eighty-six million, four hundred eight thousand, eight hundred four".