3411408 has 160 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 806400.

The previous prime is 3411391. The next prime is 3411433. The reversal of 3411408 is 8041143.

It is a Cunningham number, because it is equal to 1847²-1.

It is a super-3 number, since 3×3411408³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48013 + ... + 48083.

Almost surely, 2^3411408 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 3411408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3411408 is an abundant number, since it is smaller than the sum of its proper divisors (8587824).

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

3411408 is a wasteful number, since it uses less digits than its factorization.

3411408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3411408 is about 1846.9997292907. Note that the first 3 decimals coincide. The cubic root of 3411408 is about 150.5374497960.

The spelling of 3411408 in words is "three million, four hundred eleven thousand, four hundred eight".