31770828672 has 192 divisors, whose sum is σ = 93081752400. Its totient is φ = 9594224640.

The previous prime is 31770828659. The next prime is 31770828697. The reversal of 31770828672 is 27682807713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15657354 + ... + 15659382.

Almost surely, 2^31770828672 is an apocalyptic number.

31770828672 is a gapful number since it is divisible by the number (32) 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 31770828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46540876200).

31770828672 is an abundant number, since it is smaller than the sum of its proper divisors (61310923728).

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

31770828672 is a wasteful number, since it uses less digits than its factorization.

31770828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 31770828672 in words is "thirty-one billion, seven hundred seventy million, eight hundred twenty-eight thousand, six hundred seventy-two".