3652830560 has 192 divisors, whose sum is σ = 9601804800. Its totient is φ = 1306939392.

The previous prime is 3652830547. The next prime is 3652830611. The reversal of 3652830560 is 650382563.

It is a happy number.

3652830560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3652830560² = 26686342200139827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6222587 + ... + 6223173.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 2^3652830560 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 3652830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800902400).

3652830560 is an abundant number, since it is smaller than the sum of its proper divisors (5948974240).

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

3652830560 is a wasteful number, since it uses less digits than its factorization.

3652830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 3652830560 is about 60438.6512093048. The cubic root of 3652830560 is about 1540.0796270741.

The spelling of 3652830560 in words is "three billion, six hundred fifty-two million, eight hundred thirty thousand, five hundred sixty".