352408080960 has 336 divisors, whose sum is σ = 1308466897920. Its totient is φ = 86541373440.

The previous prime is 352408080953. The next prime is 352408080967. The reversal of 352408080960 is 69080804253.

It is an interprime number because it is at equal distance from previous prime (352408080953) and next prime (352408080967).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (352408080967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16125721 + ... + 16147559.

It is an arithmetic number, because the mean of its divisors is an integer number (3894246720).

Almost surely, 2^352408080960 is an apocalyptic number.

352408080960 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 352408080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654233448960).

352408080960 is an abundant number, since it is smaller than the sum of its proper divisors (956058816960).

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

352408080960 is a wasteful number, since it uses less digits than its factorization.

352408080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22306 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 352408080960 in words is "three hundred fifty-two billion, four hundred eight million, eighty thousand, nine hundred sixty".