3444000 has 192 divisors, whose sum is σ = 13208832. Its totient is φ = 768000.

The previous prime is 3443989. The next prime is 3444017. The reversal of 3444000 is 4443.

3444000 = T₅₁ + T₅₂ + ... + T₂₇₄.

3444000 is nontrivially palindromic in base 9.

3444000 is a nontrivial binomial coefficient, being equal to C(2625, 2).

It is a super-2 number, since 2×3444000² = 23722272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83980 + ... + 84020.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

Almost surely, 2^3444000 is an apocalyptic number.

3444000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3444000 is the 2624-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3444000 is an abundant number, since it is smaller than the sum of its proper divisors (9764832).

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

3444000 is a wasteful number, since it uses less digits than its factorization.

3444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3444000 is about 1855.8017135459. The cubic root of 3444000 is about 151.0153340275.

Adding to 3444000 its reverse (4443), we get a palindrome (3448443).

The spelling of 3444000 in words is "three million, four hundred forty-four thousand".