352267920 has 160 divisors (see below), whose sum is σ = 1230992640. Its totient is φ = 92574720.

The previous prime is 352267891. The next prime is 352267957. The reversal of 352267920 is 29762253.

It is a super-3 number, since 3×352267920³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152212 + ... + 154508.

It is an arithmetic number, because the mean of its divisors is an integer number (7693704).

Almost surely, 2^352267920 is an apocalyptic number.

352267920 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 352267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615496320).

352267920 is an abundant number, since it is smaller than the sum of its proper divisors (878724720).

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

352267920 is a wasteful number, since it uses less digits than its factorization.

352267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 352267920 is about 18768.8017731554. The cubic root of 352267920 is about 706.2487600678.

The spelling of 352267920 in words is "three hundred fifty-two million, two hundred sixty-seven thousand, nine hundred twenty".