3655759680 has 168 divisors, whose sum is σ = 12641363592. Its totient is φ = 969670656.

The previous prime is 3655759669. The next prime is 3655759693. The reversal of 3655759680 is 869575563.

3655759680 is a `hidden beast` number, since 3 + 6 + 5 + 575 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 933424704 + 2722334976 = 30552^2 + 52176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552552 + ... + 559128.

It is a vampire number, since it can be written as 37056 ⋅ 98655 (with its own digits).

Almost surely, 2^3655759680 is an apocalyptic number.

3655759680 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 3655759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320681796).

3655759680 is an abundant number, since it is smaller than the sum of its proper divisors (8985603912).

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

3655759680 is a wasteful number, since it uses less digits than its factorization.

3655759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3655759680 is about 60462.8785288957. The cubic root of 3655759680 is about 1540.4911684549.

The spelling of 3655759680 in words is "three billion, six hundred fifty-five million, seven hundred fifty-nine thousand, six hundred eighty".