31442400 has 216 divisors, whose sum is σ = 121257864. Its totient is φ = 7603200.

The previous prime is 31442381. The next prime is 31442413. The reversal of 31442400 is 424413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79002 + ... + 79398.

It is an arithmetic number, because the mean of its divisors is an integer number (561379).

Almost surely, 2^31442400 is an apocalyptic number.

31442400 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 31442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60628932).

31442400 is an abundant number, since it is smaller than the sum of its proper divisors (89815464).

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

31442400 is a wasteful number, since it uses less digits than its factorization.

31442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31442400 is about 5607.3523163789. The cubic root of 31442400 is about 315.6253638528.

Adding to 31442400 its reverse (424413), we get a palindrome (31866813).

The spelling of 31442400 in words is "thirty-one million, four hundred forty-two thousand, four hundred".