3411360 has 144 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 861696.

The previous prime is 3411349. The next prime is 3411361. The reversal of 3411360 is 631143.

3411360 = T₆₉ + T₇₀ + ... + T₂₇₄.

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 (3411361) 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, 33069 + ... + 33171.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

Almost surely, 2^3411360 is an apocalyptic number.

3411360 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 3411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3411360 is an abundant number, since it is smaller than the sum of its proper divisors (8853984).

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

3411360 is a wasteful number, since it uses less digits than its factorization.

3411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3411360 is about 1846.9867351987. The cubic root of 3411360 is about 150.5367437501.

The spelling of 3411360 in words is "three million, four hundred eleven thousand, three hundred sixty".