33888320345 has 32 divisors (see below), whose sum is σ = 44581138560. Its totient is φ = 24525066240.

The previous prime is 33888320321. The next prime is 33888320383. The reversal of 33888320345 is 54302388833.

It is not a de Polignac number, because 33888320345 - 2¹⁸ = 33888058201 is a prime.

It is a super-2 number, since 2×33888320345² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33888320345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18941711 + ... + 18943499.

It is an arithmetic number, because the mean of its divisors is an integer number (1393160580).

Almost surely, 2^33888320345 is an apocalyptic number.

It is an amenable number.

33888320345 is a deficient number, since it is larger than the sum of its proper divisors (10692818215).

33888320345 is a wasteful number, since it uses less digits than its factorization.

33888320345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 33888320345 in words is "thirty-three billion, eight hundred eighty-eight million, three hundred twenty thousand, three hundred forty-five".