38852400 has 60 divisors (see below), whose sum is σ = 124461032. Its totient is φ = 10360320.

The previous prime is 38852399. The next prime is 38852413. The reversal of 38852400 is 425883.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14989 + ... + 17388.

Almost surely, 2^38852400 is an apocalyptic number.

38852400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38852400 is an abundant number, since it is smaller than the sum of its proper divisors (85608632).

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

38852400 is a wasteful number, since it uses less digits than its factorization.

38852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32398 (or 32387 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38852400 is about 6233.1693383062. The cubic root of 38852400 is about 338.6927890928.

The spelling of 38852400 in words is "thirty-eight million, eight hundred fifty-two thousand, four hundred".