3652205760 has 280 divisors, whose sum is σ = 14848210080. Its totient is φ = 834748416.

The previous prime is 3652205747. The next prime is 3652205801. The reversal of 3652205760 is 675022563.

It is a happy number.

3652205760 is a `hidden beast` number, since 3 + 65 + 2 + 20 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171376 + ... + 191504.

Almost surely, 2^3652205760 is an apocalyptic number.

3652205760 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 3652205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424105040).

3652205760 is an abundant number, since it is smaller than the sum of its proper divisors (11196004320).

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

3652205760 is a wasteful number, since it uses less digits than its factorization.

3652205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20165 (or 20146 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3652205760 is about 60433.4821104990. The cubic root of 3652205760 is about 1539.9918142028.

The spelling of 3652205760 in words is "three billion, six hundred fifty-two million, two hundred five thousand, seven hundred sixty".