3607680 has 64 divisors (see below), whose sum is σ = 11505600. Its totient is φ = 961536.

The previous prime is 3607649. The next prime is 3607691. The reversal of 3607680 is 867063.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (179775).

Almost surely, 2^3607680 is an apocalyptic number.

3607680 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 3607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752800).

3607680 is an abundant number, since it is smaller than the sum of its proper divisors (7897920).

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

3607680 is a wasteful number, since it uses less digits than its factorization.

3607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3607680 is about 1899.3893755626. The cubic root of 3607680 is about 153.3707952995.

The spelling of 3607680 in words is "three million, six hundred seven thousand, six hundred eighty".