33400032320 has 28 divisors (see below), whose sum is σ = 79533827724. Its totient is φ = 13360012800.

The previous prime is 33400032319. The next prime is 33400032329. The reversal of 33400032320 is 2323000433.

It can be written as a sum of positive squares in 2 ways, for example, as 13140495424 + 20259536896 = 114632^2 + 142336^2 .

It is a super-2 number, since 2×33400032320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33400032292 and 33400032301.

It is not an unprimeable number, because it can be changed into a prime (33400032329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52187231 + ... + 52187870.

Almost surely, 2^33400032320 is an apocalyptic number.

It is an amenable number.

33400032320 is an abundant number, since it is smaller than the sum of its proper divisors (46133795404).

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

33400032320 is a wasteful number, since it uses less digits than its factorization.

33400032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104375118 (or 104375108 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 33400032320 its reverse (2323000433), we get a palindrome (35723032753).

The spelling of 33400032320 in words is "thirty-three billion, four hundred million, thirty-two thousand, three hundred twenty".