33072100345 has 8 divisors (see below), whose sum is σ = 39952873800. Its totient is φ = 26280111360.

The previous prime is 33072100333. The next prime is 33072100349. The reversal of 33072100345 is 54300127033.

It can be written as a sum of positive squares in 4 ways, for example, as 6723344016 + 26348756329 = 81996^2 + 162323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33072100345 - 2¹³ = 33072092153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33072100349) 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 7 ways as a sum of consecutive naturals, for example, 22195296 + ... + 22196785.

It is an arithmetic number, because the mean of its divisors is an integer number (4994109225).

Almost surely, 2^33072100345 is an apocalyptic number.

It is an amenable number.

33072100345 is a deficient number, since it is larger than the sum of its proper divisors (6880773455).

33072100345 is a wasteful number, since it uses less digits than its factorization.

33072100345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44392235.

The product of its (nonzero) digits is 7560, while the sum is 28.

Adding to 33072100345 its reverse (54300127033), we get a palindrome (87372227378).

The spelling of 33072100345 in words is "thirty-three billion, seventy-two million, one hundred thousand, three hundred forty-five".