30432890340 has 432 divisors, whose sum is σ = 103057194240. Its totient is φ = 7242393600.

The previous prime is 30432890333. The next prime is 30432890347. The reversal of 30432890340 is 4309823403.

It is a happy number.

30432890340 is a `hidden beast` number, since 30 + 4 + 3 + 289 + 0 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (30432890333) and next prime (30432890347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30432890295 and 30432890304.

It is not an unprimeable number, because it can be changed into a prime (30432890347) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232312075 + ... + 232312205.

It is an arithmetic number, because the mean of its divisors is an integer number (238558320).

Almost surely, 2^30432890340 is an apocalyptic number.

30432890340 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 30432890340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528597120).

30432890340 is an abundant number, since it is smaller than the sum of its proper divisors (72624303900).

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

30432890340 is a wasteful number, since it uses less digits than its factorization.

30432890340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 30432890340 in words is "thirty billion, four hundred thirty-two million, eight hundred ninety thousand, three hundred forty".