30744000 has 336 divisors, whose sum is σ = 127747776. Its totient is φ = 6912000.

The previous prime is 30743981. The next prime is 30744001. The reversal of 30744000 is 44703.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30744001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503970 + ... + 504030.

Almost surely, 2^30744000 is an apocalyptic number.

30744000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63873888).

30744000 is an abundant number, since it is smaller than the sum of its proper divisors (97003776).

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

30744000 is a wasteful number, since it uses less digits than its factorization.

30744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

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

The square root of 30744000 is about 5544.7272250310. The cubic root of 30744000 is about 313.2709498057.

Adding to 30744000 its reverse (44703), we get a palindrome (30788703).

The spelling of 30744000 in words is "thirty million, seven hundred forty-four thousand".