31434480000 has 1680 divisors, whose sum is σ = 148890667860. Its totient is φ = 6531840000.

The previous prime is 31434479987. The next prime is 31434480013. The reversal of 31434480000 is 8443413.

31434480000 is a `hidden beast` number, since 314 + 344 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31434479987) and next prime (31434480013).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 2857679995 + ... + 2857680005.

Almost surely, 2^31434480000 is an apocalyptic number.

31434480000 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 31434480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74445333930).

31434480000 is an abundant number, since it is smaller than the sum of its proper divisors (117456187860).

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

31434480000 is an frugal number, since it uses more digits than its factorization.

31434480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 31434480000 in words is "thirty-one billion, four hundred thirty-four million, four hundred eighty thousand".