38430000 has 300 divisors, whose sum is σ = 156112528. Its totient is φ = 8640000.

The previous prime is 38429999. The next prime is 38430011. The reversal of 38430000 is 3483.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629970 + ... + 630030.

Almost surely, 2^38430000 is an apocalyptic number.

38430000 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 38430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78056264).

38430000 is an abundant number, since it is smaller than the sum of its proper divisors (117682528).

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

38430000 is a wasteful number, since it uses less digits than its factorization.

38430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38430000 is about 6199.1934959315. The cubic root of 38430000 is about 337.4609008204.

Adding to 38430000 its reverse (3483), we get a palindrome (38433483).

The spelling of 38430000 in words is "thirty-eight million, four hundred thirty thousand".