31830045408 has 144 divisors (see below), whose sum is σ = 103516148736. Its totient is φ = 9088277760.

The previous prime is 31830045407. The next prime is 31830045413. The reversal of 31830045408 is 80454003813.

31830045408 is a `hidden beast` number, since 31 + 83 + 0 + 0 + 4 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31830045407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3686985 + ... + 3695607.

It is an arithmetic number, because the mean of its divisors is an integer number (718862144).

Almost surely, 2^31830045408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31830045408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51758074368).

31830045408 is an abundant number, since it is smaller than the sum of its proper divisors (71686103328).

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

31830045408 is a wasteful number, since it uses less digits than its factorization.

31830045408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10477 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31830045408 in words is "thirty-one billion, eight hundred thirty million, forty-five thousand, four hundred eight".