352754362368 has 240 divisors, whose sum is σ = 1109116008000. Its totient is φ = 111395119104.

The previous prime is 352754362343. The next prime is 352754362381. The reversal of 352754362368 is 863263457253.

352754362368 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 5 + 4 + 3 + 623 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3095913 + ... + 3207831.

It is an arithmetic number, because the mean of its divisors is an integer number (4621316700).

Almost surely, 2^352754362368 is an apocalyptic number.

352754362368 is a gapful number since it is divisible by the number (38) 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 352754362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554558004000).

352754362368 is an abundant number, since it is smaller than the sum of its proper divisors (756361645632).

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

352754362368 is a wasteful number, since it uses less digits than its factorization.

352754362368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111972 (or 111943 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 352754362368 in words is "three hundred fifty-two billion, seven hundred fifty-four million, three hundred sixty-two thousand, three hundred sixty-eight".