352636416 has 200 divisors, whose sum is σ = 1149696504. Its totient is φ = 106721280.

The previous prime is 352636393. The next prime is 352636469. The reversal of 352636416 is 614636253.

352636416 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 3 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455806 + ... + 456578.

Almost surely, 2^352636416 is an apocalyptic number.

352636416 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 352636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574848252).

352636416 is an abundant number, since it is smaller than the sum of its proper divisors (797060088).

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

352636416 is an equidigital number, since it uses as much as digits as its factorization.

352636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 789 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 352636416 is about 18778.6159234380. The cubic root of 352636416 is about 706.4949355257.

The spelling of 352636416 in words is "three hundred fifty-two million, six hundred thirty-six thousand, four hundred sixteen".