34135654065220 has 96 divisors (see below), whose sum is σ = 73793020194432. Its totient is φ = 13255992960000.

The previous prime is 34135654065197. The next prime is 34135654065229. The reversal of 34135654065220 is 2256045653143.

It is not an unprimeable number, because it can be changed into a prime (34135654065229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512356535 + ... + 1512379105.

It is an arithmetic number, because the mean of its divisors is an integer number (768677293692).

Almost surely, 2^{34135654065220} 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 34135654065220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36896510097216).

34135654065220 is an abundant number, since it is smaller than the sum of its proper divisors (39657366129212).

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

34135654065220 is a wasteful number, since it uses less digits than its factorization.

34135654065220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31573 (or 31571 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 34135654065220 in words is "thirty-four trillion, one hundred thirty-five billion, six hundred fifty-four million, sixty-five thousand, two hundred twenty".