38366400 has 84 divisors (see below), whose sum is σ = 125889512. Its totient is φ = 10229760.

The previous prime is 38366381. The next prime is 38366401. The reversal of 38366400 is 466383.

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

It is not an unprimeable number, because it can be changed into a prime (38366401) 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, 804 + ... + 8796.

Almost surely, 2^38366400 is an apocalyptic number.

38366400 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 38366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62944756).

38366400 is an abundant number, since it is smaller than the sum of its proper divisors (87523112).

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

38366400 is a wasteful number, since it uses less digits than its factorization.

38366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 38366400 is about 6194.0616722793. The cubic root of 38366400 is about 337.2746369290.

The spelling of 38366400 in words is "thirty-eight million, three hundred sixty-six thousand, four hundred".