31896429840 has 240 divisors, whose sum is σ = 116976263040. Its totient is φ = 7724574720.

The previous prime is 31896429811. The next prime is 31896429841. The reversal of 31896429840 is 4892469813.

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

It is not an unprimeable number, because it can be changed into a prime (31896429841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12742029 + ... + 12744531.

It is an arithmetic number, because the mean of its divisors is an integer number (487401096).

Almost surely, 2^31896429840 is an apocalyptic number.

31896429840 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 31896429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58488131520).

31896429840 is an abundant number, since it is smaller than the sum of its proper divisors (85079833200).

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

31896429840 is a wasteful number, since it uses less digits than its factorization.

31896429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 31896429840 in words is "thirty-one billion, eight hundred ninety-six million, four hundred twenty-nine thousand, eight hundred forty".