30821436672 has 288 divisors, whose sum is σ = 93402624000. Its totient is φ = 8951095296.

The previous prime is 30821436641. The next prime is 30821436691. The reversal of 30821436672 is 27663412803.

It is a super-2 number, since 2×30821436672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18140079 + ... + 18141777.

Almost surely, 2^30821436672 is an apocalyptic number.

30821436672 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 30821436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46701312000).

30821436672 is an abundant number, since it is smaller than the sum of its proper divisors (62581187328).

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

30821436672 is a wasteful number, since it uses less digits than its factorization.

30821436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 30821436672 in words is "thirty billion, eight hundred twenty-one million, four hundred thirty-six thousand, six hundred seventy-two".