352489937280 has 512 divisors, whose sum is σ = 1238192524800. Its totient is φ = 84766556160.

The previous prime is 352489937251. The next prime is 352489937287. The reversal of 352489937280 is 82739984253.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352489937287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219073116 + ... + 219074724.

It is an arithmetic number, because the mean of its divisors is an integer number (2418344775).

Almost surely, 2^352489937280 is an apocalyptic number.

352489937280 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 352489937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619096262400).

352489937280 is an abundant number, since it is smaller than the sum of its proper divisors (885702587520).

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

352489937280 is a wasteful number, since it uses less digits than its factorization.

352489937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 352489937280 in words is "three hundred fifty-two billion, four hundred eighty-nine million, nine hundred thirty-seven thousand, two hundred eighty".