31672845792240 has 80 divisors (see below), whose sum is σ = 98186836250400. Its totient is φ = 8446004960256.

The previous prime is 31672845792233. The next prime is 31672845792241. The reversal of 31672845792240 is 4229754827613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×31672845792240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31672845792241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24539346 + ... + 25797774.

It is an arithmetic number, because the mean of its divisors is an integer number (1227335453130).

It is a 1-persistent number, because it is pandigital, but 2⋅31672845792240 = 63345691584480 is not.

Almost surely, 2^{31672845792240} is an apocalyptic number.

31672845792240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31672845792240 is an abundant number, since it is smaller than the sum of its proper divisors (66513990458160).

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

31672845792240 is a wasteful number, since it uses less digits than its factorization.

31672845792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363314 (or 1363308 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 31672845792240 in words is "thirty-one trillion, six hundred seventy-two billion, eight hundred forty-five million, seven hundred ninety-two thousand, two hundred forty".