3405264 has 40 divisors (see below), whose sum is σ = 8948832. Its totient is φ = 1115520.

The previous prime is 3405263. The next prime is 3405277. The reversal of 3405264 is 4625043.

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

It is a d-powerful number, because it can be written as 3¹³ + 4³ + 0 + 5³ + 2¹⁷ + 6⁸ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2347 + ... + 3509.

Almost surely, 2^3405264 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 3405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474416).

3405264 is an abundant number, since it is smaller than the sum of its proper divisors (5543568).

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

3405264 is a wasteful number, since it uses less digits than its factorization.

3405264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3405264 is about 1845.3357418096. The cubic root of 3405264 is about 150.4470220408.

The spelling of 3405264 in words is "three million, four hundred five thousand, two hundred sixty-four".