352096227000 has 320 divisors, whose sum is σ = 1406598747840. Its totient is φ = 80479008000.

The previous prime is 352096226987. The next prime is 352096227001. The reversal of 352096227000 is 722690253.

352096227000 is a `hidden beast` number, since 3 + 5 + 20 + 9 + 622 + 7 + 0 + 0 + 0 = 666.

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 (352096227001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256510 + ... + 877490.

It is an arithmetic number, because the mean of its divisors is an integer number (4395621087).

Almost surely, 2^352096227000 is an apocalyptic number.

352096227000 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 352096227000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703299373920).

352096227000 is an abundant number, since it is smaller than the sum of its proper divisors (1054502520840).

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

352096227000 is a wasteful number, since it uses less digits than its factorization.

352096227000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621021 (or 620998 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 352096227000 in words is "three hundred fifty-two billion, ninety-six million, two hundred twenty-seven thousand".