34242032004000 has 96 divisors (see below), whose sum is σ = 112176896884416. Its totient is φ = 9131208531200.

The previous prime is 34242032003983. The next prime is 34242032004001. The reversal of 34242032004000 is 40023024243.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34242032004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426739334 + ... + 1426763333.

It is an arithmetic number, because the mean of its divisors is an integer number (1168509342546).

Almost surely, 2^{34242032004000} is an apocalyptic number.

34242032004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34242032004000 is an abundant number, since it is smaller than the sum of its proper divisors (77934864880416).

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

34242032004000 is a wasteful number, since it uses less digits than its factorization.

34242032004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853502695 (or 2853502677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34242032004000 its reverse (40023024243), we get a palindrome (34282055028243).

The spelling of 34242032004000 in words is "thirty-four trillion, two hundred forty-two billion, thirty-two million, four thousand".