30684037120 has 240 divisors, whose sum is σ = 85101928128. Its totient is φ = 10496245760.

The previous prime is 30684037031. The next prime is 30684037199. The reversal of 30684037120 is 2173048603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15318039 + ... + 15320041.

Almost surely, 2^30684037120 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 30684037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42550964064).

30684037120 is an abundant number, since it is smaller than the sum of its proper divisors (54417891008).

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

30684037120 is a wasteful number, since it uses less digits than its factorization.

30684037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 30684037120 in words is "thirty billion, six hundred eighty-four million, thirty-seven thousand, one hundred twenty".