38585400 has 96 divisors (see below), whose sum is σ = 136717440. Its totient is φ = 8818560.

The previous prime is 38585383. The next prime is 38585411. The reversal of 38585400 is 458583.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394 + ... + 8793.

It is an arithmetic number, because the mean of its divisors is an integer number (1424140).

Almost surely, 2^38585400 is an apocalyptic number.

38585400 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 38585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68358720).

38585400 is an abundant number, since it is smaller than the sum of its proper divisors (98132040).

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

38585400 is a wasteful number, since it uses less digits than its factorization.

38585400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 38585400 is about 6211.7147391038. The cubic root of 38585400 is about 337.9151544094.

The spelling of 38585400 in words is "thirty-eight million, five hundred eighty-five thousand, four hundred".