34014370100 has 72 divisors (see below), whose sum is σ = 80265409560. Its totient is φ = 12459294720.

The previous prime is 34014370099. The next prime is 34014370127. The reversal of 34014370100 is 107341043.

It can be written as a sum of positive squares in 12 ways, for example, as 6584356 + 34007785744 = 2566^2 + 184412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207485 + ... + 333284.

It is an arithmetic number, because the mean of its divisors is an integer number (1114797355).

Almost surely, 2^34014370100 is an apocalyptic number.

It is an amenable number.

34014370100 is an abundant number, since it is smaller than the sum of its proper divisors (46251039460).

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

34014370100 is a wasteful number, since it uses less digits than its factorization.

34014370100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540837 (or 540830 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The spelling of 34014370100 in words is "thirty-four billion, fourteen million, three hundred seventy thousand, one hundred".