30743680 has 96 divisors (see below), whose sum is σ = 80989020. Its totient is φ = 11151360.

The previous prime is 30743659. The next prime is 30743681. The reversal of 30743680 is 8634703.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 7744 = 5544^2 + 88^2 .

It is not an unprimeable number, because it can be changed into a prime (30743681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77242 + ... + 77638.

Almost surely, 2^30743680 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 30743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40494510).

30743680 is an abundant number, since it is smaller than the sum of its proper divisors (50245340).

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

30743680 is a wasteful number, since it uses less digits than its factorization.

30743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 30743680 is about 5544.6983687122. The cubic root of 30743680 is about 313.2698629047.

The spelling of 30743680 in words is "thirty million, seven hundred forty-three thousand, six hundred eighty".