3817296 has 90 divisors (see below), whose sum is σ = 12450282. Its totient is φ = 1088640.

The previous prime is 3817291. The next prime is 3817301. The reversal of 3817296 is 6927183.

3817296 = 46³ + 47³ + ... + 66³.

3817296 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3817291) and next prime (3817301).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 705600 = 1764^2 + 840^2 .

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

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

It is one of the 548 Lynch-Bell numbers.

3817296 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 3817296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3817291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6786 + ... + 7326.

Almost surely, 2^3817296 is an apocalyptic number.

3817296 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 3817296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225141).

3817296 is an abundant number, since it is smaller than the sum of its proper divisors (8632986).

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

3817296 is a wasteful number, since it uses less digits than its factorization.

3817296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3817296 is about 1953.7901627350. The cubic root of 3817296 is about 156.2854733326.

The spelling of 3817296 in words is "three million, eight hundred seventeen thousand, two hundred ninety-six".