31075341408 has 144 divisors (see below), whose sum is σ = 92377958400. Its totient is φ = 9897189120.

The previous prime is 31075341313. The next prime is 31075341421. The reversal of 31075341408 is 80414357013.

It is a happy number.

31075341408 is a `hidden beast` number, since 3 + 107 + 534 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683283 + ... + 727341.

It is an arithmetic number, because the mean of its divisors is an integer number (641513600).

Almost surely, 2^31075341408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31075341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46188979200).

31075341408 is an abundant number, since it is smaller than the sum of its proper divisors (61302616992).

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

31075341408 is a wasteful number, since it uses less digits than its factorization.

31075341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44185 (or 44174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 31075341408 in words is "thirty-one billion, seventy-five million, three hundred forty-one thousand, four hundred eight".