352410835968 has 352 divisors, whose sum is σ = 1100162606400. Its totient is φ = 111266168832.

The previous prime is 352410835951. The next prime is 352410835969. The reversal of 352410835968 is 869538014253.

352410835968 is a `hidden beast` number, since 3 + 5 + 2 + 41 + 0 + 8 + 3 + 596 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352410835969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42490830 + ... + 42499122.

It is an arithmetic number, because the mean of its divisors is an integer number (3125461950).

Almost surely, 2^352410835968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352410835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550081303200).

352410835968 is an abundant number, since it is smaller than the sum of its proper divisors (747751770432).

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

352410835968 is a wasteful number, since it uses less digits than its factorization.

352410835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 352410835968 in words is "three hundred fifty-two billion, four hundred ten million, eight hundred thirty-five thousand, nine hundred sixty-eight".