3200224504032 has 72 divisors (see below), whose sum is σ = 9100841723064. Its totient is φ = 1066717672704.

The previous prime is 3200224504003. The next prime is 3200224504049. The reversal of 3200224504032 is 2304054220023.

It is a happy number.

3200224504032 is a `hidden beast` number, since 3 + 200 + 2 + 2 + 4 + 50 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3200224503987 and 3200224504005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16782858 + ... + 16972470.

It is an arithmetic number, because the mean of its divisors is an integer number (126400579487).

Almost surely, 2^{3200224504032} is an apocalyptic number.

3200224504032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3200224504032 is an abundant number, since it is smaller than the sum of its proper divisors (5900617219032).

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

3200224504032 is a wasteful number, since it uses less digits than its factorization.

3200224504032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248232 (or 248221 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3200224504032 its reverse (2304054220023), we get a palindrome (5504278724055).

The spelling of 3200224504032 in words is "three trillion, two hundred billion, two hundred twenty-four million, five hundred four thousand, thirty-two".