31479275776 has 81 divisors (see below), whose sum is σ = 68120760519. Its totient is φ = 14511863808.

The previous prime is 31479275759. The next prime is 31479275797. The reversal of 31479275776 is 67757297413.

It is a happy number.

The square root of 31479275776 is 177424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20327915776 + 11151360000 = 142576^2 + 105600^2 .

It is a super-3 number, since 3×31479275776³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31479275776.

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, 36903766 + ... + 36904618.

Almost surely, 2^31479275776 is an apocalyptic number.

31479275776 is the 177424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31479275776

31479275776 is an abundant number, since it is smaller than the sum of its proper divisors (36641484743).

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

31479275776 is an frugal number, since it uses more digits than its factorization.

31479275776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 868 counting only the distinct ones).

The product of its digits is 15558480, while the sum is 58.

The spelling of 31479275776 in words is "thirty-one billion, four hundred seventy-nine million, two hundred seventy-five thousand, seven hundred seventy-six".