38285600 has 36 divisors (see below), whose sum is σ = 93466674. Its totient is φ = 15313920.

The previous prime is 38285591. The next prime is 38285623. The reversal of 38285600 is 658283.

It can be written as a sum of positive squares in 3 ways, for example, as 29116816 + 9168784 = 5396^2 + 3028^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23129 + ... + 24728.

Almost surely, 2^38285600 is an apocalyptic number.

It is an amenable number.

38285600 is an abundant number, since it is smaller than the sum of its proper divisors (55181074).

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

38285600 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 38285600 = (80032865)₉.

38285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47877 (or 47864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 38285600 is about 6187.5358584820. The cubic root of 38285600 is about 337.0377026677.

The spelling of 38285600 in words is "thirty-eight million, two hundred eighty-five thousand, six hundred".