3240628715520 has 2304 divisors, whose sum is σ = 14857845811200. Its totient is φ = 660451885056.

The previous prime is 3240628715491. The next prime is 3240628715557. The reversal of 3240628715520 is 255178260423.

3240628715520 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 6 + 28 + 71 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170559406071 + ... + 170559406089.

It is an arithmetic number, because the mean of its divisors is an integer number (6448717800).

Almost surely, 2^{3240628715520} is an apocalyptic number.

3240628715520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240628715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428922905600).

3240628715520 is an abundant number, since it is smaller than the sum of its proper divisors (11617217095680).

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

3240628715520 is an frugal number, since it uses more digits than its factorization.

3240628715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3240628715520 in words is "three trillion, two hundred forty billion, six hundred twenty-eight million, seven hundred fifteen thousand, five hundred twenty".