30980884320 has 384 divisors, whose sum is σ = 116021808000. Its totient is φ = 7693664256.

The previous prime is 30980884313. The next prime is 30980884351. The reversal of 30980884320 is 2348808903.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7121506 + ... + 7125854.

It is an arithmetic number, because the mean of its divisors is an integer number (302140125).

Almost surely, 2^30980884320 is an apocalyptic number.

30980884320 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 30980884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58010904000).

30980884320 is an abundant number, since it is smaller than the sum of its proper divisors (85040923680).

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

30980884320 is a wasteful number, since it uses less digits than its factorization.

30980884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 30980884320 in words is "thirty billion, nine hundred eighty million, eight hundred eighty-four thousand, three hundred twenty".