34095836004 has 96 divisors (see below), whose sum is σ = 85011696000. Its totient is φ = 10598750208.

The previous prime is 34095835999. The next prime is 34095836023. The reversal of 34095836004 is 40063859043.

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 31 ways as a sum of consecutive naturals, for example, 12401622 + ... + 12404370.

It is an arithmetic number, because the mean of its divisors is an integer number (885538500).

Almost surely, 2^34095836004 is an apocalyptic number.

34095836004 is a gapful number since it is divisible by the number (34) 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 34095836004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42505848000).

34095836004 is an abundant number, since it is smaller than the sum of its proper divisors (50915859996).

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

34095836004 is a wasteful number, since it uses less digits than its factorization.

34095836004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 34095836004 in words is "thirty-four billion, ninety-five million, eight hundred thirty-six thousand, four".