3440160 has 72 divisors (see below), whose sum is σ = 11744460. Its totient is φ = 916992.

The previous prime is 3440153. The next prime is 3440167. The reversal of 3440160 is 610443.

It is an interprime number because it is at equal distance from previous prime (3440153) and next prime (3440167).

It can be written as a sum of positive squares in 2 ways, for example, as 3283344 + 156816 = 1812^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (3440167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 2634.

Almost surely, 2^3440160 is an apocalyptic number.

3440160 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 3440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872230).

3440160 is an abundant number, since it is smaller than the sum of its proper divisors (8304300).

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

3440160 is a wasteful number, since it uses less digits than its factorization.

3440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2399 counting only the distinct ones).

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

The square root of 3440160 is about 1854.7668317069. The cubic root of 3440160 is about 150.9591866657.

It can be divided in two parts, 3440 and 160, that added together give a square (3600 = 60²).

The spelling of 3440160 in words is "three million, four hundred forty thousand, one hundred sixty".