38364300 has 144 divisors (see below), whose sum is σ = 132942880. Its totient is φ = 9434880.

The previous prime is 38364289. The next prime is 38364323. The reversal of 38364300 is 346383.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34554 + ... + 35646.

Almost surely, 2^38364300 is an apocalyptic number.

38364300 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 38364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66471440).

38364300 is an abundant number, since it is smaller than the sum of its proper divisors (94578580).

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

38364300 is a wasteful number, since it uses less digits than its factorization.

38364300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38364300 is about 6193.8921527582. The cubic root of 38364300 is about 337.2684831967.

The spelling of 38364300 in words is "thirty-eight million, three hundred sixty-four thousand, three hundred".