352960488529920 has 336 divisors, whose sum is σ = 1223669140668000. Its totient is φ = 94111453151232.

The previous prime is 352960488529907. The next prime is 352960488529921. The reversal of 352960488529920 is 29925884069253.

352960488529920 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 6 + 0 + 4 + 8 + 8 + 529 + 92 + 0 = 666.

It is a super-2 number, since 2×352960488529920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352960488529921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3317338162 + ... + 3317444558.

Almost surely, 2^{352960488529920} is an apocalyptic number.

352960488529920 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 352960488529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611834570334000).

352960488529920 is an abundant number, since it is smaller than the sum of its proper divisors (870708652138080).

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

352960488529920 is a wasteful number, since it uses less digits than its factorization.

352960488529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115433 (or 115406 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 352960488529920 in words is "three hundred fifty-two trillion, nine hundred sixty billion, four hundred eighty-eight million, five hundred twenty-nine thousand, nine hundred twenty".