30431980800 has 1728 divisors, whose sum is σ = 136257945600. Its totient is φ = 6569164800.

The previous prime is 30431980759. The next prime is 30431980849. The reversal of 30431980800 is 808913403.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×30431980800² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 981676785 + ... + 981676815.

Almost surely, 2^30431980800 is an apocalyptic number.

30431980800 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 30431980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68128972800).

30431980800 is an abundant number, since it is smaller than the sum of its proper divisors (105825964800).

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

30431980800 is a wasteful number, since it uses less digits than its factorization.

30431980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 30431980800 in words is "thirty billion, four hundred thirty-one million, nine hundred eighty thousand, eight hundred".