3652281864 has 384 divisors, whose sum is σ = 12939264000. Its totient is φ = 903052800.

The previous prime is 3652281839. The next prime is 3652281869. The reversal of 3652281864 is 4681822563.

3652281864 is a `hidden beast` number, since 365 + 2 + 281 + 8 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3652281869) 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, 13577122 + ... + 13577390.

It is an arithmetic number, because the mean of its divisors is an integer number (33696000).

Almost surely, 2^3652281864 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 3652281864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469632000).

3652281864 is an abundant number, since it is smaller than the sum of its proper divisors (9286982136).

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

3652281864 is a wasteful number, since it uses less digits than its factorization.

3652281864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 3652281864 is about 60434.1117581784. Note that the first 3 decimals coincide. The cubic root of 3652281864 is about 1540.0025108184.

The spelling of 3652281864 in words is "three billion, six hundred fifty-two million, two hundred eighty-one thousand, eight hundred sixty-four".