38471200 has 72 divisors (see below), whose sum is σ = 98899920. Its totient is φ = 14572800.

The previous prime is 38471179. The next prime is 38471261. The reversal of 38471200 is 217483.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 13935 + ... + 16465.

It is an arithmetic number, because the mean of its divisors is an integer number (1373610).

Almost surely, 2^38471200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49449960).

38471200 is an abundant number, since it is smaller than the sum of its proper divisors (60428720).

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

38471200 is a wasteful number, since it uses less digits than its factorization.

38471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 38471200 is about 6202.5156186825. The cubic root of 38471200 is about 337.5814526771.

Adding to 38471200 its reverse (217483), we get a palindrome (38688683).

The spelling of 38471200 in words is "thirty-eight million, four hundred seventy-one thousand, two hundred".