31446307328 has 90 divisors (see below), whose sum is σ = 66889653963. Its totient is φ = 14766161920.

The previous prime is 31446307297. The next prime is 31446307349. The reversal of 31446307328 is 82370364413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 19212177664 + 12234129664 = 138608^2 + 110608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125392.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68213018 + ... + 68213478.

Almost surely, 2^31446307328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31446307328

31446307328 is an abundant number, since it is smaller than the sum of its proper divisors (35443346635).

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

31446307328 is an frugal number, since it uses more digits than its factorization.

31446307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 31446307328 in words is "thirty-one billion, four hundred forty-six million, three hundred seven thousand, three hundred twenty-eight".