30042980352 has 768 divisors, whose sum is σ = 114502752000. Its totient is φ = 7803371520.

The previous prime is 30042980339. The next prime is 30042980393. The reversal of 30042980352 is 25308924003.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731180027 + ... + 2731180037.

It is an arithmetic number, because the mean of its divisors is an integer number (149092125).

Almost surely, 2^30042980352 is an apocalyptic number.

30042980352 is a gapful number since it is divisible by the number (32) 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 30042980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57251376000).

30042980352 is an abundant number, since it is smaller than the sum of its proper divisors (84459771648).

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

30042980352 is an frugal number, since it uses more digits than its factorization.

30042980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30042980352 in words is "thirty billion, forty-two million, nine hundred eighty thousand, three hundred fifty-two".