3405408 has 48 divisors (see below), whose sum is σ = 9414720. Its totient is φ = 1074816.

The previous prime is 3405397. The next prime is 3405431. The reversal of 3405408 is 8045043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891 + ... + 2757.

It is an arithmetic number, because the mean of its divisors is an integer number (196140).

Almost surely, 2^3405408 is an apocalyptic number.

3405408 is a gapful number since it is divisible by the number (38) 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 3405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707360).

3405408 is an abundant number, since it is smaller than the sum of its proper divisors (6009312).

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

3405408 is a wasteful number, since it uses less digits than its factorization.

3405408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3405408 is about 1845.3747586872. The cubic root of 3405408 is about 150.4491426856.

The spelling of 3405408 in words is "three million, four hundred five thousand, four hundred eight".