31738613760 has 624 divisors, whose sum is σ = 133217899776. Its totient is φ = 6823084032.

The previous prime is 31738613701. The next prime is 31738613779. The reversal of 31738613760 is 6731683713.

It is a happy number.

It is a super-2 number, since 2×31738613760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933357 + ... + 21934803.

It is an arithmetic number, because the mean of its divisors is an integer number (213490224).

Almost surely, 2^31738613760 is an apocalyptic number.

31738613760 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 31738613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66608949888).

31738613760 is an abundant number, since it is smaller than the sum of its proper divisors (101479286016).

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

31738613760 is a wasteful number, since it uses less digits than its factorization.

31738613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 31738613760 in words is "thirty-one billion, seven hundred thirty-eight million, six hundred thirteen thousand, seven hundred sixty".