3604800 has 84 divisors (see below), whose sum is σ = 11842496. Its totient is φ = 960000.

The previous prime is 3604793. The next prime is 3604807. The reversal of 3604800 is 84063.

It is an interprime number because it is at equal distance from previous prime (3604793) and next prime (3604807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3604807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4425 + ... + 5175.

Almost surely, 2^3604800 is an apocalyptic number.

3604800 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 3604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921248).

3604800 is an abundant number, since it is smaller than the sum of its proper divisors (8237696).

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

3604800 is a wasteful number, since it uses less digits than its factorization.

3604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3604800 is about 1898.6310858089. The cubic root of 3604800 is about 153.3299726212.

Adding to 3604800 its reverse (84063), we get a palindrome (3688863).

It can be divided in two parts, 360 and 4800, that multiplied together give a cube (1728000 = 120³).

The spelling of 3604800 in words is "three million, six hundred four thousand, eight hundred".