352296000000 has 1120 divisors, whose sum is σ = 1496118349440. Its totient is φ = 80179200000.

The previous prime is 352295999977. The next prime is 352296000013. The reversal of 352296000000 is 692253.

352296000000 is a `hidden beast` number, since 3 + 52 + 2 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×352296000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1511999884 + ... + 1512000116.

Almost surely, 2^352296000000 is an apocalyptic number.

352296000000 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 352296000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748059174720).

352296000000 is an abundant number, since it is smaller than the sum of its proper divisors (1143822349440).

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

352296000000 is an frugal number, since it uses more digits than its factorization.

352296000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 352296000000 its reverse (692253), we get a palindrome (352296692253).

The spelling of 352296000000 in words is "three hundred fifty-two billion, two hundred ninety-six million", and thus it is an aban number.