34155001345020 has 192 divisors, whose sum is σ = 98814437568000. Its totient is φ = 8808135367680.

The previous prime is 34155001344967. The next prime is 34155001345021. The reversal of 34155001345020 is 2054310055143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34155001345021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882561631 + ... + 882600329.

It is an arithmetic number, because the mean of its divisors is an integer number (514658529000).

Almost surely, 2^{34155001345020} is an apocalyptic number.

34155001345020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34155001345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49407218784000).

34155001345020 is an abundant number, since it is smaller than the sum of its proper divisors (64659436222980).

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

34155001345020 is a wasteful number, since it uses less digits than its factorization.

34155001345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41148 (or 41146 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 34155001345020 in words is "thirty-four trillion, one hundred fifty-five billion, one million, three hundred forty-five thousand, twenty".