352688505696 has 384 divisors, whose sum is σ = 1123546152960. Its totient is φ = 107198816256.

The previous prime is 352688505683. The next prime is 352688505707. The reversal of 352688505696 is 696505886253.

352688505696 is a `hidden beast` number, since 3 + 5 + 2 + 68 + 8 + 5 + 0 + 569 + 6 = 666.

It is a super-4 number, since 4×352688505696⁴ (a number of 47 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 80208970 + ... + 80213366.

It is an arithmetic number, because the mean of its divisors is an integer number (2925901440).

Almost surely, 2^352688505696 is an apocalyptic number.

352688505696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352688505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561773076480).

352688505696 is an abundant number, since it is smaller than the sum of its proper divisors (770857647264).

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

352688505696 is a wasteful number, since it uses less digits than its factorization.

352688505696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 352688505696 in words is "three hundred fifty-two billion, six hundred eighty-eight million, five hundred five thousand, six hundred ninety-six".