3345408 has 132 divisors (see below), whose sum is σ = 10890040. Its totient is φ = 1013760.

The previous prime is 3345401. The next prime is 3345409. The reversal of 3345408 is 8045433.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×3345408² = 22383509372928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3345401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304123 + ... + 304133.

Almost surely, 2^3345408 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 3345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445020).

3345408 is an abundant number, since it is smaller than the sum of its proper divisors (7544632).

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

3345408 is a wasteful number, since it uses less digits than its factorization.

3345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3345408 is about 1829.0456527927. The cubic root of 3345408 is about 149.5603124249.

Multiplying 3345408 by its sum of digits (27), we get a square (90326016 = 9504²).

3345408 divided by its sum of digits (27) gives a square (123904 = 352²).

The spelling of 3345408 in words is "three million, three hundred forty-five thousand, four hundred eight".