31228646400 has 1188 divisors, whose sum is σ = 137771746528. Its totient is φ = 6617825280.

The previous prime is 31228646389. The next prime is 31228646401. The reversal of 31228646400 is 464682213.

31228646400 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 8 + 6 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31228646401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 466099167 + ... + 466099233.

Almost surely, 2^31228646400 is an apocalyptic number.

31228646400 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 31228646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68885873264).

31228646400 is an abundant number, since it is smaller than the sum of its proper divisors (106543100128).

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

31228646400 is a wasteful number, since it uses less digits than its factorization.

31228646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 31228646400 in words is "thirty-one billion, two hundred twenty-eight million, six hundred forty-six thousand, four hundred".