3694786560 has 288 divisors, whose sum is σ = 13093254720. Its totient is φ = 963182592.

The previous prime is 3694786547. The next prime is 3694786573. The reversal of 3694786560 is 656874963.

3694786560 is a `hidden beast` number, since 3 + 6 + 9 + 4 + 78 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3694786547) and next prime (3694786573).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3694786497 and 3694786506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4331094 + ... + 4331946.

It is an arithmetic number, because the mean of its divisors is an integer number (45462690).

Almost surely, 2^3694786560 is an apocalyptic number.

3694786560 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 3694786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546627360).

3694786560 is an abundant number, since it is smaller than the sum of its proper divisors (9398468160).

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

3694786560 is a wasteful number, since it uses less digits than its factorization.

3694786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3694786560 is about 60784.7559837168. The cubic root of 3694786560 is about 1545.9535885859.

The spelling of 3694786560 in words is "three billion, six hundred ninety-four million, seven hundred eighty-six thousand, five hundred sixty".