3457944 has 64 divisors (see below), whose sum is σ = 10982400. Its totient is φ = 987552.

The previous prime is 3457921. The next prime is 3457967. The reversal of 3457944 is 4497543.

It is an interprime number because it is at equal distance from previous prime (3457921) and next prime (3457967).

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

It is a d-powerful number, because it can be written as 3¹¹ + 4³ + 5⁹ + 7⁵ + 9² + 4⁹ + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 3457899 and 3457908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (171600).

Almost surely, 2^3457944 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 3457944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491200).

3457944 is an abundant number, since it is smaller than the sum of its proper divisors (7524456).

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

3457944 is a wasteful number, since it uses less digits than its factorization.

3457944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3457944 is about 1859.5547854258. The cubic root of 3457944 is about 151.2188688974.

The spelling of 3457944 in words is "three million, four hundred fifty-seven thousand, nine hundred forty-four".