34001255320000 has 560 divisors, whose sum is σ = 88812674596800. Its totient is φ = 12893224960000.

The previous prime is 34001255319991. The next prime is 34001255320007. The reversal of 34001255320000 is 2355210043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001255320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24131479296 + ... + 24131480704.

It is an arithmetic number, because the mean of its divisors is an integer number (158594061780).

Almost surely, 2^{34001255320000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34001255320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44406337298400).

34001255320000 is an abundant number, since it is smaller than the sum of its proper divisors (54811419276800).

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

34001255320000 is a wasteful number, since it uses less digits than its factorization.

34001255320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 34001255320000 in words is "thirty-four trillion, one billion, two hundred fifty-five million, three hundred twenty thousand".