352361397240432 has 280 divisors, whose sum is σ = 1070105130986400. Its totient is φ = 112347066915072.

The previous prime is 352361397240427. The next prime is 352361397240481. The reversal of 352361397240432 is 234042793163253.

352361397240432 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 6 + 1 + 397 + 240 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 140674444 + ... + 143157332.

Almost surely, 2^{352361397240432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352361397240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535052565493200).

352361397240432 is an abundant number, since it is smaller than the sum of its proper divisors (717743733745968).

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

352361397240432 is an frugal number, since it uses more digits than its factorization.

352361397240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482984 (or 2482917 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 352361397240432 in words is "three hundred fifty-two trillion, three hundred sixty-one billion, three hundred ninety-seven million, two hundred forty thousand, four hundred thirty-two".