3652895008224 has 576 divisors, whose sum is σ = 13414036285440. Its totient is φ = 946666828800.

The previous prime is 3652895008223. The next prime is 3652895008249. The reversal of 3652895008224 is 4228005982563.

3652895008224 is a `hidden beast` number, since 3 + 6 + 52 + 8 + 9 + 500 + 82 + 2 + 4 = 666.

It is a super-2 number, since 2×3652895008224² (a number of 26 digits) contains 22 as substring.

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 (3652895008223) 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, 338821714 + ... + 338832494.

It is an arithmetic number, because the mean of its divisors is an integer number (23288257440).

Almost surely, 2^{3652895008224} 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 3652895008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707018142720).

3652895008224 is an abundant number, since it is smaller than the sum of its proper divisors (9761141277216).

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

3652895008224 is a wasteful number, since it uses less digits than its factorization.

3652895008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3652895008224 in words is "three trillion, six hundred fifty-two billion, eight hundred ninety-five million, eight thousand, two hundred twenty-four".