3608880 has 80 divisors (see below), whose sum is σ = 12213504. Its totient is φ = 874240.

The previous prime is 3608873. The next prime is 3608887. The reversal of 3608880 is 888063.

It is an interprime number because it is at equal distance from previous prime (3608873) and next prime (3608887).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3608887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957 + ... + 3323.

Almost surely, 2^3608880 is an apocalyptic number.

3608880 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 3608880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752).

3608880 is an abundant number, since it is smaller than the sum of its proper divisors (8604624).

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

3608880 is a wasteful number, since it uses less digits than its factorization.

3608880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3608880 is about 1899.7052402939. The cubic root of 3608880 is about 153.3877983367.

The spelling of 3608880 in words is "three million, six hundred eight thousand, eight hundred eighty".