3240825022400 has 84 divisors (see below), whose sum is σ = 9113662969488. Its totient is φ = 1111140003840.

The previous prime is 3240825022271. The next prime is 3240825022439. The reversal of 3240825022400 is 42205280423.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 144668489 + ... + 144690888.

It is an arithmetic number, because the mean of its divisors is an integer number (108495987732).

Almost surely, 2^{3240825022400} is an apocalyptic number.

It is an amenable number.

3240825022400 is an abundant number, since it is smaller than the sum of its proper divisors (5872837947088).

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

3240825022400 is a wasteful number, since it uses less digits than its factorization.

3240825022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289359406 (or 289359391 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 3240825022400 in words is "three trillion, two hundred forty billion, eight hundred twenty-five million, twenty-two thousand, four hundred".