31437417636 has 81 divisors (see below), whose sum is σ = 82382377441. Its totient is φ = 10107860448.

The previous prime is 31437417631. The next prime is 31437417643. The reversal of 31437417636 is 63671473413.

The square root of 31437417636 is 177306.

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

31437417636 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 7 + 4 + 1 + 7 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16485019236 + 14952398400 = 128394^2 + 122280^2 .

It is a super-2 number, since 2×31437417636² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31437417591 and 31437417600.

It is not an unprimeable number, because it can be changed into a prime (31437417631) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 30850735 + ... + 30851753.

Almost surely, 2^31437417636 is an apocalyptic number.

31437417636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31437417636 is the 177306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31437417636

31437417636 is an abundant number, since it is smaller than the sum of its proper divisors (50944959805).

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

31437417636 is a wasteful number, since it uses less digits than its factorization.

31437417636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 31437417636 in words is "thirty-one billion, four hundred thirty-seven million, four hundred seventeen thousand, six hundred thirty-six".