3645376784 has 80 divisors (see below), whose sum is σ = 8554512000. Its totient is φ = 1470016512.

The previous prime is 3645376783. The next prime is 3645376807. The reversal of 3645376784 is 4876735463.

It is not an unprimeable number, because it can be changed into a prime (3645376783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311324 + ... + 322820.

It is an arithmetic number, because the mean of its divisors is an integer number (106931400).

Almost surely, 2^3645376784 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 3645376784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277256000).

3645376784 is an abundant number, since it is smaller than the sum of its proper divisors (4909135216).

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

3645376784 is a wasteful number, since it uses less digits than its factorization.

3645376784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11674 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 53.

The square root of 3645376784 is about 60376.9557364397. The cubic root of 3645376784 is about 1539.0313782953.

The spelling of 3645376784 in words is "three billion, six hundred forty-five million, three hundred seventy-six thousand, seven hundred eighty-four".