30039932160 has 972 divisors, whose sum is σ = 127267630308. Its totient is φ = 6772211712.

The previous prime is 30039932089. The next prime is 30039932261. The reversal of 30039932160 is 6123993003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 16131032064 = 117936^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (972).

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 107 ways as a sum of consecutive naturals, for example, 411505884 + ... + 411505956.

Almost surely, 2^30039932160 is an apocalyptic number.

30039932160 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 30039932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63633815154).

30039932160 is an abundant number, since it is smaller than the sum of its proper divisors (97227698148).

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

30039932160 is an frugal number, since it uses more digits than its factorization.

30039932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 30039932160 in words is "thirty billion, thirty-nine million, nine hundred thirty-two thousand, one hundred sixty".