31385400 has 144 divisors (see below), whose sum is σ = 103925640. Its totient is φ = 7833600.

The previous prime is 31385353. The next prime is 31385429. The reversal of 31385400 is 458313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 173310 + ... + 173490.

Almost surely, 2^31385400 is an apocalyptic number.

31385400 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 31385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51962820).

31385400 is an abundant number, since it is smaller than the sum of its proper divisors (72540240).

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

31385400 is a wasteful number, since it uses less digits than its factorization.

31385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 31385400 is about 5602.2673981166. The cubic root of 31385400 is about 315.4345225251.

The spelling of 31385400 in words is "thirty-one million, three hundred eighty-five thousand, four hundred".