31484388960 has 240 divisors, whose sum is σ = 117650576736. Its totient is φ = 7901908992.

The previous prime is 31484388959. The next prime is 31484388997. The reversal of 31484388960 is 6988348413.

31484388960 is a `hidden beast` number, since 3 + 148 + 438 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 31484388897 and 31484388906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148869 + ... + 291771.

Almost surely, 2^31484388960 is an apocalyptic number.

31484388960 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 31484388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58825288368).

31484388960 is an abundant number, since it is smaller than the sum of its proper divisors (86166187776).

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

31484388960 is a wasteful number, since it uses less digits than its factorization.

31484388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142947 (or 142930 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 31484388960 in words is "thirty-one billion, four hundred eighty-four million, three hundred eighty-eight thousand, nine hundred sixty".