30854743920 has 960 divisors, whose sum is σ = 143718801408. Its totient is φ = 5723136000.

The previous prime is 30854743897. The next prime is 30854743921. The reversal of 30854743920 is 2934745803.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30854743921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22341630 + ... + 22343010.

Almost surely, 2^30854743920 is an apocalyptic number.

30854743920 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 30854743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71859400704).

30854743920 is an abundant number, since it is smaller than the sum of its proper divisors (112864057488).

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

30854743920 is a wasteful number, since it uses less digits than its factorization.

30854743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 30854743920 in words is "thirty billion, eight hundred fifty-four million, seven hundred forty-three thousand, nine hundred twenty".