31388407680 has 256 divisors, whose sum is σ = 118033551360. Its totient is φ = 6942965760.

The previous prime is 31388407643. The next prime is 31388407681. The reversal of 31388407680 is 8670488313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31388407681) 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 31 ways as a sum of consecutive naturals, for example, 378972 + ... + 454308.

It is an arithmetic number, because the mean of its divisors is an integer number (461068560).

Almost surely, 2^31388407680 is an apocalyptic number.

31388407680 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 31388407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59016775680).

31388407680 is an abundant number, since it is smaller than the sum of its proper divisors (86645143680).

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

31388407680 is a wasteful number, since it uses less digits than its factorization.

31388407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75397 (or 75385 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 31388407680 in words is "thirty-one billion, three hundred eighty-eight million, four hundred seven thousand, six hundred eighty".