352649376 has 96 divisors (see below), whose sum is σ = 1041465600. Its totient is φ = 117526464.

The previous prime is 352649369. The next prime is 352649389. The reversal of 352649376 is 673946253.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67465 + ... + 72503.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2^352649376 is an apocalyptic number.

352649376 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 352649376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

352649376 is an abundant number, since it is smaller than the sum of its proper divisors (688816224).

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

352649376 is an frugal number, since it uses more digits than its factorization.

352649376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5044 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 352649376 is about 18778.9609936226. The cubic root of 352649376 is about 706.5035903911.

The spelling of 352649376 in words is "three hundred fifty-two million, six hundred forty-nine thousand, three hundred seventy-six".