32835490716 has 96 divisors (see below), whose sum is σ = 88702967808. Its totient is φ = 9259853760.

The previous prime is 32835490691. The next prime is 32835490783. The reversal of 32835490716 is 61709453823.

32835490716 is a nontrivial binomial coefficient, being equal to C(256264, 2).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2684671 + ... + 2696873.

It is an arithmetic number, because the mean of its divisors is an integer number (923989248).

It is a 2-persistent number, because it is pandigital, and so is 2⋅32835490716 = 65670981432, but 3⋅32835490716 = 98506472148 is not.

Almost surely, 2^32835490716 is an apocalyptic number.

32835490716 is the 256263-rd triangular number and also the 128132-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32835490716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44351483904).

32835490716 is an abundant number, since it is smaller than the sum of its proper divisors (55867477092).

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

32835490716 is a wasteful number, since it uses less digits than its factorization.

32835490716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

It can be divided in two parts, 328354 and 90716, that added together give a triangular number (419070 = T₉₁₅).

The spelling of 32835490716 in words is "thirty-two billion, eight hundred thirty-five million, four hundred ninety thousand, seven hundred sixteen".