34400131716 has 48 divisors (see below), whose sum is σ = 80992050048. Its totient is φ = 11363558400.

The previous prime is 34400131699. The next prime is 34400131781. The reversal of 34400131716 is 61713100443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618996 + ... + 672276.

It is an arithmetic number, because the mean of its divisors is an integer number (1687334376).

Almost surely, 2^34400131716 is an apocalyptic number.

It is an amenable number.

34400131716 is an abundant number, since it is smaller than the sum of its proper divisors (46591918332).

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

34400131716 is a wasteful number, since it uses less digits than its factorization.

34400131716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53772 (or 53770 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 34400131716 in words is "thirty-four billion, four hundred million, one hundred thirty-one thousand, seven hundred sixteen".