3379824 has 90 divisors (see below), whose sum is σ = 11026080. Its totient is φ = 963648.

The previous prime is 3379819. The next prime is 3379829. The reversal of 3379824 is 4289733.

It is an interprime number because it is at equal distance from previous prime (3379819) and next prime (3379829).

It is a super-2 number, since 2×3379824² = 22846420541952, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379829) 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, 6817 + ... + 7295.

It is an arithmetic number, because the mean of its divisors is an integer number (122512).

Almost surely, 2^3379824 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 3379824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040).

3379824 is an abundant number, since it is smaller than the sum of its proper divisors (7646256).

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

3379824 is a wasteful number, since it uses less digits than its factorization.

3379824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3379824 is about 1838.4297647721. The cubic root of 3379824 is about 150.0714326438.

Subtracting 3379824 from its reverse (4289733), we obtain a palindrome (909909).

The spelling of 3379824 in words is "three million, three hundred seventy-nine thousand, eight hundred twenty-four".