3401360 has 80 divisors (see below), whose sum is σ = 8718192. Its totient is φ = 1228800.

The previous prime is 3401357. The next prime is 3401383. The reversal of 3401360 is 631043.

3401360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 802816 + 2598544 = 896^2 + 1612^2 .

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 (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55730 + ... + 55790.

Almost surely, 2^3401360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359096).

3401360 is an abundant number, since it is smaller than the sum of its proper divisors (5316832).

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

3401360 is a wasteful number, since it uses less digits than its factorization.

3401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3401360 is about 1844.2776363661. The cubic root of 3401360 is about 150.3895062091.

It can be divided in two parts, 340 and 1360, that multiplied together give a square (462400 = 680²).

The spelling of 3401360 in words is "three million, four hundred one thousand, three hundred sixty".