3375744 has 64 divisors (see below), whose sum is σ = 9180000. Its totient is φ = 1098752.

The previous prime is 3375737. The next prime is 3375751. The reversal of 3375744 is 4475733.

It is an interprime number because it is at equal distance from previous prime (3375737) and next prime (3375751).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3375744² = 22791295107072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22582 + ... + 22730.

Almost surely, 2^3375744 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 3375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590000).

3375744 is an abundant number, since it is smaller than the sum of its proper divisors (5804256).

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

3375744 is a wasteful number, since it uses less digits than its factorization.

3375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its digits is 35280, while the sum is 33.

The square root of 3375744 is about 1837.3197870812. The cubic root of 3375744 is about 150.0110214124.

The spelling of 3375744 in words is "three million, three hundred seventy-five thousand, seven hundred forty-four".