3292416 has 54 divisors (see below), whose sum is σ = 9499490. Its totient is φ = 1096704.

The previous prime is 3292411. The next prime is 3292433. The reversal of 3292416 is 6142923.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1218816 = 1440^2 + 1104^2 .

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 3292416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3292411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1590 + ... + 3018.

Almost surely, 2^3292416 is an apocalyptic number.

3292416 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 3292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749745).

3292416 is an abundant number, since it is smaller than the sum of its proper divisors (6207074).

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

3292416 is a wasteful number, since it uses less digits than its factorization.

3292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1434 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3292416 is about 1814.5015844578. The cubic root of 3292416 is about 148.7664162849.

The spelling of 3292416 in words is "three million, two hundred ninety-two thousand, four hundred sixteen".