31422634346880 has 384 divisors, whose sum is σ = 124085086332480. Its totient is φ = 7177804333056.

The previous prime is 31422634346879. The next prime is 31422634346903. The reversal of 31422634346880 is 8864343622413.

31422634346880 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 2 + 63 + 43 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 64147042 + ... + 64635038.

Almost surely, 2^{31422634346880} is an apocalyptic number.

31422634346880 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 31422634346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62042543166240).

31422634346880 is an abundant number, since it is smaller than the sum of its proper divisors (92662451985600).

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

31422634346880 is a wasteful number, since it uses less digits than its factorization.

31422634346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489626 (or 489611 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 31422634346880 in words is "thirty-one trillion, four hundred twenty-two billion, six hundred thirty-four million, three hundred forty-six thousand, eight hundred eighty".