34084400857 has 8 divisors (see below), whose sum is σ = 36835985984. Its totient is φ = 31351345488.

The previous prime is 34084400837. The next prime is 34084400963. The reversal of 34084400857 is 75800448043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34084400857 - 2⁷ = 34084400729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34084400837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4628613 + ... + 4635970.

It is an arithmetic number, because the mean of its divisors is an integer number (4604498248).

Almost surely, 2^34084400857 is an apocalyptic number.

It is an amenable number.

34084400857 is a deficient number, since it is larger than the sum of its proper divisors (2751585127).

34084400857 is a wasteful number, since it uses less digits than its factorization.

34084400857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264879.

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 34084400857 in words is "thirty-four billion, eighty-four million, four hundred thousand, eight hundred fifty-seven".