352391897088 has 1344 divisors, whose sum is σ = 1396869626880. Its totient is φ = 86712975360.

The previous prime is 352391897087. The next prime is 352391897093. The reversal of 352391897088 is 880798193253.

352391897088 is a `hidden beast` number, since 3 + 523 + 9 + 18 + 97 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (352391897087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18546941943 + ... + 18546941961.

It is an arithmetic number, because the mean of its divisors is an integer number (1039337520).

Almost surely, 2^352391897088 is an apocalyptic number.

352391897088 is a gapful number since it is divisible by the number (38) 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 352391897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698434813440).

352391897088 is an abundant number, since it is smaller than the sum of its proper divisors (1044477729792).

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

352391897088 is an frugal number, since it uses more digits than its factorization.

352391897088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 352391897088 in words is "three hundred fifty-two billion, three hundred ninety-one million, eight hundred ninety-seven thousand, eighty-eight".