31749480 has 192 divisors, whose sum is σ = 121080960. Its totient is φ = 7064064.

The previous prime is 31749469. The next prime is 31749481. The reversal of 31749480 is 8494713.

It is a happy number.

31749480 is a `hidden beast` number, since 3 + 174 + 9 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31749481) by changing a digit.

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, 108214 + ... + 108506.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^31749480 is an apocalyptic number.

31749480 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 31749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

31749480 is an abundant number, since it is smaller than the sum of its proper divisors (89331480).

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

31749480 is a wasteful number, since it uses less digits than its factorization.

31749480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 31749480 is about 5634.6676920649. The cubic root of 31749480 is about 316.6495478588.

The spelling of 31749480 in words is "thirty-one million, seven hundred forty-nine thousand, four hundred eighty".