38985400 has 48 divisors (see below), whose sum is σ = 91054440. Its totient is φ = 15523200.

The previous prime is 38985389. The next prime is 38985407. The reversal of 38985400 is 458983.

It is a super-2 number, since 2×38985400² = 3039722826320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38985400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38985407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79155 + ... + 79645.

Almost surely, 2^38985400 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 38985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45527220).

38985400 is an abundant number, since it is smaller than the sum of its proper divisors (52069040).

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

38985400 is a wasteful number, since it uses less digits than its factorization.

38985400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 38985400 is about 6243.8289534548. The cubic root of 38985400 is about 339.0788213384.

The spelling of 38985400 in words is "thirty-eight million, nine hundred eighty-five thousand, four hundred".