352607226720 has 384 divisors, whose sum is σ = 1287007626240. Its totient is φ = 79480750080.

The previous prime is 352607226703. The next prime is 352607226733. The reversal of 352607226720 is 27622706253.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259078840 + ... + 259080200.

It is an arithmetic number, because the mean of its divisors is an integer number (3351582360).

Almost surely, 2^352607226720 is an apocalyptic number.

352607226720 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 352607226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643503813120).

352607226720 is an abundant number, since it is smaller than the sum of its proper divisors (934400399520).

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

352607226720 is a wasteful number, since it uses less digits than its factorization.

352607226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 352607226720 in words is "three hundred fifty-two billion, six hundred seven million, two hundred twenty-six thousand, seven hundred twenty".