3404160 has 128 divisors (see below), whose sum is σ = 12117600. Its totient is φ = 903168.

The previous prime is 3404153. The next prime is 3404171. The reversal of 3404160 is 614043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3404160³ (a number of 21 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17182 + ... + 17378.

Almost surely, 2^3404160 is an apocalyptic number.

3404160 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 3404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058800).

3404160 is an abundant number, since it is smaller than the sum of its proper divisors (8713440).

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

3404160 is a wasteful number, since it uses less digits than its factorization.

3404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

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

The square root of 3404160 is about 1845.0365850031. The cubic root of 3404160 is about 150.4307617778.

The spelling of 3404160 in words is "three million, four hundred four thousand, one hundred sixty".