3408768 has 96 divisors (see below), whose sum is σ = 10740600. Its totient is φ = 1029120.

The previous prime is 3408767. The next prime is 3408787. The reversal of 3408768 is 8678043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408767) 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, 12538 + ... + 12806.

Almost surely, 2^3408768 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 3408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370300).

3408768 is an abundant number, since it is smaller than the sum of its proper divisors (7331832).

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

3408768 is a wasteful number, since it uses less digits than its factorization.

3408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3408768 is about 1846.2849184240. The cubic root of 3408768 is about 150.4986074344.

The spelling of 3408768 in words is "three million, four hundred eight thousand, seven hundred sixty-eight".