38734200 has 144 divisors (see below), whose sum is σ = 135069480. Its totient is φ = 10316160.

The previous prime is 38734187. The next prime is 38734219. The reversal of 38734200 is 243783.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48202 + ... + 48998.

Almost surely, 2^38734200 is an apocalyptic number.

38734200 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 38734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

38734200 is an abundant number, since it is smaller than the sum of its proper divisors (96335280).

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

38734200 is a wasteful number, since it uses less digits than its factorization.

38734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38734200 is about 6223.6805830634. The cubic root of 38734200 is about 338.3489737459.

Adding to 38734200 its reverse (243783), we get a palindrome (38977983).

The spelling of 38734200 in words is "thirty-eight million, seven hundred thirty-four thousand, two hundred".