3652546560 has 416 divisors, whose sum is σ = 13375575360. Its totient is φ = 843055104.

The previous prime is 3652546553. The next prime is 3652546589. The reversal of 3652546560 is 656452563.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13578106 + ... + 13578374.

Almost surely, 2^3652546560 is an apocalyptic number.

3652546560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687787680).

3652546560 is an abundant number, since it is smaller than the sum of its proper divisors (9723028800).

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

3652546560 is a wasteful number, since it uses less digits than its factorization.

3652546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The square root of 3652546560 is about 60436.3016737457. The cubic root of 3652546560 is about 1540.0397133740.

The spelling of 3652546560 in words is "three billion, six hundred fifty-two million, five hundred forty-six thousand, five hundred sixty".