352342813680 has 900 divisors, whose sum is σ = 1457077600440. Its totient is φ = 78816291840.

The previous prime is 352342813673. The next prime is 352342813681. The reversal of 352342813680 is 86318243253.

352342813680 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 4 + 281 + 368 + 0 = 666.

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 (352342813681) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 132508191 + ... + 132510849.

Almost surely, 2^352342813680 is an apocalyptic number.

352342813680 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 352342813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728538800220).

352342813680 is an abundant number, since it is smaller than the sum of its proper divisors (1104734786760).

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

352342813680 is a wasteful number, since it uses less digits than its factorization.

352342813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 352342813680 in words is "three hundred fifty-two billion, three hundred forty-two million, eight hundred thirteen thousand, six hundred eighty".