352603957680 has 400 divisors, whose sum is σ = 1328381540640. Its totient is φ = 86167535616.

The previous prime is 352603957621. The next prime is 352603957687. The reversal of 352603957680 is 86759306253.

It is a happy number.

352603957680 is a `hidden beast` number, since 3 + 5 + 2 + 60 + 3 + 9 + 576 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (352603957687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11694304 + ... + 11724416.

Almost surely, 2^352603957680 is an apocalyptic number.

352603957680 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 352603957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664190770320).

352603957680 is an abundant number, since it is smaller than the sum of its proper divisors (975777582960).

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

352603957680 is a wasteful number, since it uses less digits than its factorization.

352603957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30290 (or 30275 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 352603957680 in words is "three hundred fifty-two billion, six hundred three million, nine hundred fifty-seven thousand, six hundred eighty".