352304612352 has 1056 divisors, whose sum is σ = 1354895216640. Its totient is φ = 89382666240.

The previous prime is 352304612339. The next prime is 352304612357. The reversal of 352304612352 is 253216403253.

352304612352 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 0 + 4 + 612 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×352304612352³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352304612357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700406533 + ... + 700407035.

Almost surely, 2^352304612352 is an apocalyptic number.

352304612352 is a gapful number since it is divisible by the number (32) 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 352304612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677447608320).

352304612352 is an abundant number, since it is smaller than the sum of its proper divisors (1002590604288).

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

352304612352 is a wasteful number, since it uses less digits than its factorization.

352304612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 352304612352 in words is "three hundred fifty-two billion, three hundred four million, six hundred twelve thousand, three hundred fifty-two".