30744400 has 60 divisors (see below), whose sum is σ = 74692764. Its totient is φ = 12160000.

The previous prime is 30744397. The next prime is 30744403. The reversal of 30744400 is 444703.

It is an interprime number because it is at equal distance from previous prime (30744397) and next prime (30744403).

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 29333056 = 1188^2 + 5416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30744403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40020 + ... + 40780.

Almost surely, 2^30744400 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 30744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346382).

30744400 is an abundant number, since it is smaller than the sum of its proper divisors (43948364).

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

30744400 is a wasteful number, since it uses less digits than its factorization.

30744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 30744400 is about 5544.7632952183. The cubic root of 30744400 is about 313.2723084214.

The spelling of 30744400 in words is "thirty million, seven hundred forty-four thousand, four hundred".