30942924544 has 288 divisors, whose sum is σ = 80353728000. Its totient is φ = 11813437440.

The previous prime is 30942924539. The next prime is 30942924553. The reversal of 30942924544 is 44542924903.

It is a junction number, because it is equal to n+sod(n) for n = 30942924494 and 30942924503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28361439 + ... + 28362529.

It is an arithmetic number, because the mean of its divisors is an integer number (279006000).

Almost surely, 2^30942924544 is an apocalyptic number.

30942924544 is a gapful number since it is divisible by the number (34) 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 30942924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864000).

30942924544 is an abundant number, since it is smaller than the sum of its proper divisors (49410803456).

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

30942924544 is a wasteful number, since it uses less digits than its factorization.

30942924544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 30942924544 in words is "thirty billion, nine hundred forty-two million, nine hundred twenty-four thousand, five hundred forty-four".