34532965061888 has 144 divisors (see below), whose sum is σ = 69903859596480. Its totient is φ = 17023990579200.

The previous prime is 34532965061851. The next prime is 34532965061899. The reversal of 34532965061888 is 88816056923543.

It is a super-3 number, since 3×34532965061888³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16205050583 + ... + 16205052713.

It is an arithmetic number, because the mean of its divisors is an integer number (485443469420).

Almost surely, 2^{34532965061888} 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 34532965061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34951929798240).

34532965061888 is an abundant number, since it is smaller than the sum of its proper divisors (35370894534592).

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

34532965061888 is an equidigital number, since it uses as much as digits as its factorization.

34532965061888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 68.

The spelling of 34532965061888 in words is "thirty-four trillion, five hundred thirty-two billion, nine hundred sixty-five million, sixty-one thousand, eight hundred eighty-eight".