31749827340 has 288 divisors, whose sum is σ = 114506590464. Its totient is φ = 6498455040.

The previous prime is 31749827321. The next prime is 31749827359. The reversal of 31749827340 is 4372894713.

It is an interprime number because it is at equal distance from previous prime (31749827321) and next prime (31749827359).

It is a super-2 number, since 2×31749827340² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31749827340.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2159454 + ... + 2174106.

It is an arithmetic number, because the mean of its divisors is an integer number (397592328).

Almost surely, 2^31749827340 is an apocalyptic number.

31749827340 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 31749827340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253295232).

31749827340 is an abundant number, since it is smaller than the sum of its proper divisors (82756763124).

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

31749827340 is a wasteful number, since it uses less digits than its factorization.

31749827340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 31749827340 in words is "thirty-one billion, seven hundred forty-nine million, eight hundred twenty-seven thousand, three hundred forty".