3604680 has 192 divisors, whose sum is σ = 13478400. Its totient is φ = 829440.

The previous prime is 3604631. The next prime is 3604681. The reversal of 3604680 is 864063.

3604680 = T₁₁₅ + T₁₁₆ + ... + T₂₈₄.

It is not an unprimeable number, because it can be changed into a prime (3604681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116265 + ... + 116295.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

Almost surely, 2^3604680 is an apocalyptic number.

3604680 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 3604680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3604680 is an abundant number, since it is smaller than the sum of its proper divisors (9873720).

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

3604680 is a wasteful number, since it uses less digits than its factorization.

3604680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3604680 is about 1898.5994838301. The cubic root of 3604680 is about 153.3282712044.

The spelling of 3604680 in words is "three million, six hundred four thousand, six hundred eighty".