3436416 has 96 divisors (see below), whose sum is σ = 10475400. Its totient is φ = 1078272.

The previous prime is 3436409. The next prime is 3436417. The reversal of 3436416 is 6146343.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3436416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436417) 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, 21810 + ... + 21966.

Almost surely, 2^3436416 is an apocalyptic number.

3436416 is a gapful number since it is divisible by the number (36) 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 3436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237700).

3436416 is an abundant number, since it is smaller than the sum of its proper divisors (7038984).

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

3436416 is a wasteful number, since it uses less digits than its factorization.

3436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3436416 is about 1853.7572656634. The cubic root of 3436416 is about 150.9044027452.

The spelling of 3436416 in words is "three million, four hundred thirty-six thousand, four hundred sixteen".