38984400 has 540 divisors, whose sum is σ = 179449452. Its totient is φ = 7741440.

The previous prime is 38984377. The next prime is 38984459. The reversal of 38984400 is 448983.

It can be written as a sum of positive squares in 6 ways, for example, as 1382976 + 37601424 = 1176^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293192 + ... + 2293208.

Almost surely, 2^38984400 is an apocalyptic number.

38984400 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 38984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89724726).

38984400 is an abundant number, since it is smaller than the sum of its proper divisors (140465052).

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

38984400 is a wasteful number, since it uses less digits than its factorization.

38984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38984400 is about 6243.7488738738. The cubic root of 38984400 is about 339.0759221187.

The spelling of 38984400 in words is "thirty-eight million, nine hundred eighty-four thousand, four hundred".