352989120 has 112 divisors (see below), whose sum is σ = 1222662528. Its totient is φ = 85570560.

The previous prime is 352989097. The next prime is 352989149. The reversal of 352989120 is 21989253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154 + ... + 27273.

Almost surely, 2^352989120 is an apocalyptic number.

352989120 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 352989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331264).

352989120 is an abundant number, since it is smaller than the sum of its proper divisors (869673408).

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

352989120 is a wasteful number, since it uses less digits than its factorization.

352989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33458 (or 33448 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 352989120 is about 18788.0046838402. The cubic root of 352989120 is about 706.7304004856.

The spelling of 352989120 in words is "three hundred fifty-two million, nine hundred eighty-nine thousand, one hundred twenty".