38454100 has 72 divisors (see below), whose sum is σ = 90376160. Its totient is φ = 14152320.

The previous prime is 38454089. The next prime is 38454107. The reversal of 38454100 is 145483.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38454107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70027 + ... + 70573.

Almost surely, 2^38454100 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 38454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45188080).

38454100 is an abundant number, since it is smaller than the sum of its proper divisors (51922060).

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

38454100 is a wasteful number, since it uses less digits than its factorization.

38454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 38454100 is about 6201.1369925200. The cubic root of 38454100 is about 337.5314282576.

Adding to 38454100 its reverse (145483), we get a palindrome (38599583).

The spelling of 38454100 in words is "thirty-eight million, four hundred fifty-four thousand, one hundred".