31350400 has 96 divisors (see below), whose sum is σ = 79018380. Its totient is φ = 12288000.

The previous prime is 31350391. The next prime is 31350413. The reversal of 31350400 is 405313.

It can be written as a sum of positive squares in 6 ways, for example, as 19571776 + 11778624 = 4424^2 + 3432^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310350 + ... + 310450.

Almost surely, 2^31350400 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 31350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39509190).

31350400 is an abundant number, since it is smaller than the sum of its proper divisors (47667980).

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

31350400 is a wasteful number, since it uses less digits than its factorization.

31350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 31350400 is about 5599.1427915351. The cubic root of 31350400 is about 315.3172247293.

Adding to 31350400 its reverse (405313), we get a palindrome (31755713).

The spelling of 31350400 in words is "thirty-one million, three hundred fifty thousand, four hundred".