352889820 has 144 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 90937728.

The previous prime is 352889807. The next prime is 352889821. The reversal of 352889820 is 28988253.

352889820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352889821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982801 + ... + 983159.

It is an arithmetic number, because the mean of its divisors is an integer number (7687680).

Almost surely, 2^352889820 is an apocalyptic number.

352889820 is a gapful number since it is divisible by the number (30) 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 352889820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553512960).

352889820 is an abundant number, since it is smaller than the sum of its proper divisors (754136100).

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

352889820 is a wasteful number, since it uses less digits than its factorization.

352889820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 352889820 is about 18785.3618543801. The cubic root of 352889820 is about 706.6641237399.

The spelling of 352889820 in words is "three hundred fifty-two million, eight hundred eighty-nine thousand, eight hundred twenty".