30329234880 has 896 divisors, whose sum is σ = 124826572800. Its totient is φ = 6072827904.

The previous prime is 30329234869. The next prime is 30329234951. The reversal of 30329234880 is 8843292303.

It is a super-2 number, since 2×30329234880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 193179762 + ... + 193179918.

Almost surely, 2^30329234880 is an apocalyptic number.

30329234880 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 30329234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62413286400).

30329234880 is an abundant number, since it is smaller than the sum of its proper divisors (94497337920).

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

30329234880 is a wasteful number, since it uses less digits than its factorization.

30329234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30329234880 in words is "thirty billion, three hundred twenty-nine million, two hundred thirty-four thousand, eight hundred eighty".