31334460000 has 240 divisors, whose sum is σ = 103135785984. Its totient is φ = 8327232000.

The previous prime is 31334459983. The next prime is 31334460011. The reversal of 31334460000 is 6443313.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22019289 + ... + 22020711.

Almost surely, 2^31334460000 is an apocalyptic number.

31334460000 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 31334460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51567892992).

31334460000 is an abundant number, since it is smaller than the sum of its proper divisors (71801325984).

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

31334460000 is a wasteful number, since it uses less digits than its factorization.

31334460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 31334460000 in words is "thirty-one billion, three hundred thirty-four million, four hundred sixty thousand".