3624164425728 has 1536 divisors, whose sum is σ = 14180020807680. Its totient is φ = 896909967360.

The previous prime is 3624164425727. The next prime is 3624164425799. The reversal of 3624164425728 is 8275244614263.

It is a happy number.

3624164425728 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 1 + 64 + 4 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624164425727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14101806976 + ... + 14101807232.

It is an arithmetic number, because the mean of its divisors is an integer number (9231784380).

Almost surely, 2^{3624164425728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3624164425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090010403840).

3624164425728 is an abundant number, since it is smaller than the sum of its proper divisors (10555856381952).

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

3624164425728 is an equidigital number, since it uses as much as digits as its factorization.

3624164425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 3624164425728 in words is "three trillion, six hundred twenty-four billion, one hundred sixty-four million, four hundred twenty-five thousand, seven hundred twenty-eight".