31480420608 has 864 divisors, whose sum is σ = 118994942976. Its totient is φ = 8080072704.

The previous prime is 31480420603. The next prime is 31480420627. The reversal of 31480420608 is 80602408413.

31480420608 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 0 + 42 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (31480420603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379282135 + ... + 379282217.

Almost surely, 2^31480420608 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 31480420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59497471488).

31480420608 is an abundant number, since it is smaller than the sum of its proper divisors (87514522368).

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

31480420608 is an equidigital number, since it uses as much as digits as its factorization.

31480420608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31480420608 in words is "thirty-one billion, four hundred eighty million, four hundred twenty thousand, six hundred eight".