30234746880 has 560 divisors, whose sum is σ = 116894802024. Its totient is φ = 7431782400.

The previous prime is 30234746851. The next prime is 30234746917. The reversal of 30234746880 is 8864743203.

It can be written as a sum of positive squares in 4 ways, for example, as 24365961216 + 5868785664 = 156096^2 + 76608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130530 + ... + 43131230.

Almost surely, 2^30234746880 is an apocalyptic number.

30234746880 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 30234746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58447401012).

30234746880 is an abundant number, since it is smaller than the sum of its proper divisors (86660055144).

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

30234746880 is an equidigital number, since it uses as much as digits as its factorization.

30234746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 30234746880 in words is "thirty billion, two hundred thirty-four million, seven hundred forty-six thousand, eight hundred eighty".