31749120 has 264 divisors, whose sum is σ = 120707496. Its totient is φ = 7667712.

The previous prime is 31749119. The next prime is 31749127. The reversal of 31749120 is 2194713.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 29942784 = 1344^2 + 5472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31749127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599014 + ... + 599066.

Almost surely, 2^31749120 is an apocalyptic number.

31749120 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 31749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60353748).

31749120 is an abundant number, since it is smaller than the sum of its proper divisors (88958376).

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

31749120 is a wasteful number, since it uses less digits than its factorization.

31749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31749120 is about 5634.6357468784. The cubic root of 31749120 is about 316.6483510490.

The spelling of 31749120 in words is "thirty-one million, seven hundred forty-nine thousand, one hundred twenty".