352165710720 has 384 divisors, whose sum is σ = 1184593687200. Its totient is φ = 88975687680.

The previous prime is 352165710653. The next prime is 352165710769. The reversal of 352165710720 is 27017561253.

It is a happy number.

352165710720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110707530 + ... + 110710710.

Almost surely, 2^352165710720 is an apocalyptic number.

352165710720 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 352165710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592296843600).

352165710720 is an abundant number, since it is smaller than the sum of its proper divisors (832427976480).

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

352165710720 is a wasteful number, since it uses less digits than its factorization.

352165710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 352165710720 in words is "three hundred fifty-two billion, one hundred sixty-five million, seven hundred ten thousand, seven hundred twenty".