34086318709400 has 48 divisors (see below), whose sum is σ = 79536794706240. Its totient is φ = 13585305340800.

The previous prime is 34086318709379. The next prime is 34086318709409. The reversal of 34086318709400 is 490781368043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34086318709409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307582856 + ... + 307693655.

It is an arithmetic number, because the mean of its divisors is an integer number (1657016556380).

Almost surely, 2^{34086318709400} is an apocalyptic number.

It is an amenable number.

34086318709400 is an abundant number, since it is smaller than the sum of its proper divisors (45450475996840).

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

34086318709400 is a wasteful number, since it uses less digits than its factorization.

34086318709400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615276804 (or 615276795 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 34086318709400 in words is "thirty-four trillion, eighty-six billion, three hundred eighteen million, seven hundred nine thousand, four hundred".