34987887483136 has 81 divisors (see below), whose sum is σ = 81242944461441. Its totient is φ = 14994524998656.

The previous prime is 34987887483121. The next prime is 34987887483139. The reversal of 34987887483136 is 63138478878943.

The square root of 34987887483136 is 5915056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1324960000 + 34986562523136 = 36400^2 + 5914944^2 .

It is not an unprimeable number, because it can be changed into a prime (34987887483139) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 662459866 + ... + 662512678.

Almost surely, 2^{34987887483136} is an apocalyptic number.

34987887483136 is the 5915056-th square number.

It is an amenable number.

34987887483136 is an abundant number, since it is smaller than the sum of its proper divisors (46255056978305).

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

34987887483136 is an frugal number, since it uses more digits than its factorization.

34987887483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105656 (or 52822 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 79.

The spelling of 34987887483136 in words is "thirty-four trillion, nine hundred eighty-seven billion, eight hundred eighty-seven million, four hundred eighty-three thousand, one hundred thirty-six".