3456096 has 96 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 953856.

The previous prime is 3456091. The next prime is 3456107. The reversal of 3456096 is 6906543.

It is a happy number.

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

It is a super-2 number, since 2×3456096² = 23889199122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24795 + ... + 24933.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^3456096 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 3456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

3456096 is an abundant number, since it is smaller than the sum of its proper divisors (7269024).

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

3456096 is a wasteful number, since it uses less digits than its factorization.

3456096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3456096 is about 1859.0578258892. The cubic root of 3456096 is about 151.1919258867.

It can be divided in two parts, 345 and 6096, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 3456096 in words is "three million, four hundred fifty-six thousand, ninety-six".