31872234240 has 1728 divisors, whose sum is σ = 150994368000. Its totient is φ = 6286049280.

The previous prime is 31872234239. The next prime is 31872234241. The reversal of 31872234240 is 4243227813.

It is a happy number.

31872234240 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 223 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31872234239) and next prime (31872234241).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 31872234195 and 31872234204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31872234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 540207331 + ... + 540207389.

It is an arithmetic number, because the mean of its divisors is an integer number (87381000).

Almost surely, 2^31872234240 is an apocalyptic number.

31872234240 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 31872234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184000).

31872234240 is an abundant number, since it is smaller than the sum of its proper divisors (119122133760).

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

31872234240 is a wasteful number, since it uses less digits than its factorization.

31872234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 31872234240 in words is "thirty-one billion, eight hundred seventy-two million, two hundred thirty-four thousand, two hundred forty".