31685472000 has 1728 divisors, whose sum is σ = 149381406720. Its totient is φ = 6469632000.

The previous prime is 31685471989. The next prime is 31685472019. The reversal of 31685472000 is 27458613.

31685472000 is a `hidden beast` number, since 31 + 68 + 547 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×31685472000³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1022111985 + ... + 1022112015.

Almost surely, 2^31685472000 is an apocalyptic number.

31685472000 is a gapful number since it is divisible by the number (30) 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 31685472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74690703360).

31685472000 is an abundant number, since it is smaller than the sum of its proper divisors (117695934720).

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

31685472000 is a wasteful number, since it uses less digits than its factorization.

31685472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 31685472000 in words is "thirty-one billion, six hundred eighty-five million, four hundred seventy-two thousand".