34535062016 has 200 divisors, whose sum is σ = 86730623364. Its totient is φ = 13655900160.

The previous prime is 34535061997. The next prime is 34535062019. The reversal of 34535062016 is 61026053543.

It can be written as a sum of positive squares in 2 ways, for example, as 33944377600 + 590684416 = 184240^2 + 24304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34535062019) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15979976 + ... + 15982136.

Almost surely, 2^34535062016 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 34535062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43365311682).

34535062016 is an abundant number, since it is smaller than the sum of its proper divisors (52195561348).

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

34535062016 is an frugal number, since it uses more digits than its factorization.

34535062016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 34535062016 in words is "thirty-four billion, five hundred thirty-five million, sixty-two thousand, sixteen".