38400000 has 156 divisors (see below), whose sum is σ = 127976184. Its totient is φ = 10240000.

The previous prime is 38399983. The next prime is 38400023. The reversal of 38400000 is 483.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7679998 + ... + 7680002.

Almost surely, 2^38400000 is an apocalyptic number.

38400000 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 38400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63988092).

38400000 is an abundant number, since it is smaller than the sum of its proper divisors (89576184).

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

38400000 is an frugal number, since it uses more digits than its factorization.

38400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 38400000 is about 6196.7733539319. The cubic root of 38400000 is about 337.3730661207.

Multiplying 38400000 by its sum of digits (15), we get a square (576000000 = 24000²).

38400000 divided by its sum of digits (15) gives a 4-th power (2560000 = 40⁴).

Adding to 38400000 its reverse (483), we get a palindrome (38400483).

The spelling of 38400000 in words is "thirty-eight million, four hundred thousand".