34155709403136 has 208 divisors, whose sum is σ = 91914347956416. Its totient is φ = 11279860236288.

The previous prime is 34155709403009. The next prime is 34155709403159. The reversal of 34155709403136 is 63130490755143.

It is a super-2 number, since 2×34155709403136² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5766620271 + ... + 5766626193.

Almost surely, 2^{34155709403136} 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 34155709403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45957173978208).

34155709403136 is an abundant number, since it is smaller than the sum of its proper divisors (57758638553280).

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

34155709403136 is a wasteful number, since it uses less digits than its factorization.

34155709403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 34155709403136 in words is "thirty-four trillion, one hundred fifty-five billion, seven hundred nine million, four hundred three thousand, one hundred thirty-six".