352816247784 has 256 divisors, whose sum is σ = 1185126727680. Its totient is φ = 84530718720.

The previous prime is 352816247783. The next prime is 352816247807. The reversal of 352816247784 is 487742618253.

352816247784 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (352816247783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39803337 + ... + 39812199.

It is an arithmetic number, because the mean of its divisors is an integer number (4629401280).

Almost surely, 2^352816247784 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 352816247784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592563363840).

352816247784 is an abundant number, since it is smaller than the sum of its proper divisors (832310479896).

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

352816247784 is a wasteful number, since it uses less digits than its factorization.

352816247784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560 (or 10556 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 352816247784 in words is "three hundred fifty-two billion, eight hundred sixteen million, two hundred forty-seven thousand, seven hundred eighty-four".