352711920 has 320 divisors, whose sum is σ = 1311344640. Its totient is φ = 77414400.

The previous prime is 352711913. The next prime is 352711999. The reversal of 352711920 is 29117253.

352711920 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301385 + ... + 1301655.

It is an arithmetic number, because the mean of its divisors is an integer number (4097952).

Almost surely, 2^352711920 is an apocalyptic number.

352711920 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 352711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655672320).

352711920 is an abundant number, since it is smaller than the sum of its proper divisors (958632720).

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

352711920 is a wasteful number, since it uses less digits than its factorization.

352711920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 352711920 is about 18780.6261876435. The cubic root of 352711920 is about 706.5453551500.

The spelling of 352711920 in words is "three hundred fifty-two million, seven hundred eleven thousand, nine hundred twenty".