3645237213072 has 960 divisors, whose sum is σ = 13835534469120. Its totient is φ = 868736434176.

The previous prime is 3645237213053. The next prime is 3645237213073. The reversal of 3645237213072 is 2703127325463.

3645237213072 is a `hidden beast` number, since 3 + 6 + 4 + 523 + 7 + 21 + 30 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3645237213073) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 554911804 + ... + 554918372.

It is an arithmetic number, because the mean of its divisors is an integer number (14412015072).

Almost surely, 2^{3645237213072} 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 3645237213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917767234560).

3645237213072 is an abundant number, since it is smaller than the sum of its proper divisors (10190297256048).

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

3645237213072 is a wasteful number, since it uses less digits than its factorization.

3645237213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 3645237213072 in words is "three trillion, six hundred forty-five billion, two hundred thirty-seven million, two hundred thirteen thousand, seventy-two".