3601440 has 144 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 921600.

The previous prime is 3601427. The next prime is 3601447. The reversal of 3601440 is 441063.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 2702736 = 948^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3601447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59010 + ... + 59070.

Almost surely, 2^3601440 is an apocalyptic number.

3601440 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 3601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

3601440 is an abundant number, since it is smaller than the sum of its proper divisors (9194616).

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

3601440 is a wasteful number, since it uses less digits than its factorization.

3601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3601440 is about 1897.7460314805. The cubic root of 3601440 is about 153.2823186729.

It can be divided in two parts, 360 and 1440, that multiplied together give a square (518400 = 720²).

The spelling of 3601440 in words is "three million, six hundred one thousand, four hundred forty".