34024740140064 has 96 divisors (see below), whose sum is σ = 89359124400000. Its totient is φ = 11335971354624.

The previous prime is 34024740140009. The next prime is 34024740140101. The reversal of 34024740140064 is 46004104742043.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2030228517 + ... + 2030245275.

It is an arithmetic number, because the mean of its divisors is an integer number (930824212500).

Almost surely, 2^{34024740140064} is an apocalyptic number.

It is an amenable number.

34024740140064 is an abundant number, since it is smaller than the sum of its proper divisors (55334384259936).

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

34024740140064 is a wasteful number, since it uses less digits than its factorization.

34024740140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25970 (or 25962 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 34024740140064 in words is "thirty-four trillion, twenty-four billion, seven hundred forty million, one hundred forty thousand, sixty-four".