31342422400 has 96 divisors (see below), whose sum is σ = 77901877800. Its totient is φ = 12459847680.

The previous prime is 31342422379. The next prime is 31342422409. The reversal of 31342422400 is 422424313.

It is a happy number.

It is a super-3 number, since 3×31342422400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31342422409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491556 + ... + 551644.

Almost surely, 2^31342422400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31342422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38950938900).

31342422400 is an abundant number, since it is smaller than the sum of its proper divisors (46559455400).

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

31342422400 is a wasteful number, since it uses less digits than its factorization.

31342422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60276 (or 60259 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31342422400 its reverse (422424313), we get a palindrome (31764846713).

The spelling of 31342422400 in words is "thirty-one billion, three hundred forty-two million, four hundred twenty-two thousand, four hundred".