31684712004 has 405 divisors, whose sum is σ = 97432187853. Its totient is φ = 8971300800.

The previous prime is 31684711957. The next prime is 31684712009. The reversal of 31684712004 is 40021748613.

The square root of 31684712004 is 178002.

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

31684712004 is a `hidden beast` number, since 3 + 168 + 471 + 20 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16614694404 + 15070017600 = 128898^2 + 122760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31684712004.

It is not an unprimeable number, because it can be changed into a prime (31684712009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1022087469 + ... + 1022087499.

Almost surely, 2^31684712004 is an apocalyptic number.

31684712004 is the 178002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31684712004

31684712004 is an abundant number, since it is smaller than the sum of its proper divisors (65747475849).

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

31684712004 is a wasteful number, since it uses less digits than its factorization.

31684712004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 31684712004 by its sum of digits (36), we get a square (1140649632144 = 1068012²).

31684712004 divided by its sum of digits (36) gives a square (880130889 = 29667²).

The spelling of 31684712004 in words is "thirty-one billion, six hundred eighty-four million, seven hundred twelve thousand, four".