30744 has 48 divisors (see below), whose sum is σ = 96720. Its totient is φ = 8640.

The previous prime is 30727. The next prime is 30757. The reversal of 30744 is 44703.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (2015).

2³⁰⁷⁴⁴ 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 30744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

30744 is an abundant number, since it is smaller than the sum of its proper divisors (65976).

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

30744 is a wasteful number, since it uses less digits than its factorization.

30744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30744 is about 175.3396703544. The cubic root of 30744 is about 31.3270949806.

It can be divided in two parts, 307 and 44, that added together give a triangular number (351 = T₂₆).

The spelling of 30744 in words is "thirty thousand, seven hundred forty-four".